Distance Time Graph Class 9

(i) 1 1 2 (ii) 3 hours Q. An equation of the type y = mx represents a line passing through the origin. CBSE Class 9 Science Revision Notes Chapter 8 Motion Motion occurs when an object changes its position with time. How do I plot (in python) the distance graph for a given value of min-points in DBSCAN??? I am looking for the knee and corresponding epsilon value. Distance-time graphs are a way of visually expressing a journey. What Conclusion Can You Draw About the Speed of a Body from the Following Distance-time Graph ? - CBSE Class 9 - Science. Prerequisite Knowledge Concept of linear equation. Mini plenary and plenary task embedded. Depending on the size of the team, you are required to do 1-3 of the algorithms along with the graph class. In the above graph, straight slope line shows that object is moving with uniform velocity. So you could say speed to versus time. Thus, 15,000 vehicles were sold. When an o bject is at rest, its distance−time graph is a straight line parallel to the time axis. There are numerous websites that provided simulation tests to practice various types of speed, distance, time questions – make use of them as much as possible. Distance-time graph is the plot of distance travelled by a body against time. As you may know, there is the Profile Graph workflow in AGP but is not as single click easy as you described. Most of the book is within the limits of CBSE syllabus. Problem 1 A salesman sold twice as much pears in the afternoon than in the morning. EASY TO USE - Tap the name of the measurement you want to calculate (Speed, Distance or Time), then enter your values by tapping the empty fields. Distance And Displacement Time Graphs. Practice Problems. (b) Distance travelled by a car (i) How much distance did the car cover during the period 7. Have difficulty relating speeds to slopes of these graphs. When velocity is positive, the displacement-time graph should have a positive slope. Learn about position, velocity, and acceleration graphs. We can traverse these nodes using the edges. How big must an applied combinatorics class be so that there are either (a) six students with each pair having taken at least one other class together, or (b) six students with each pair together in a class for the first time. x = distance = m v = speed = m / s t = time = seconds The velocity graph (v) versus time (t) (v on the y axis and t on the x axis) shows a straight line parallel to the x axis (= time) because it has a constant speed While the displacement of objects (Δx) is the area under the v-t line An equation of uniformly accelerated motion V = vo + at. The graph below represents the distance of a dog from a trainer after a command is given. Describe the relationship between time and distance as shown in the graph. If it then continues with constant velocity, what distance will the car cover in 12 seconds since it started from the rest? 16. The distance modulus automatically provides two of the unknowns. Each chapter has a large number of Numerical Problems along with all concepts and. NCERT solutions for Class 7 Science Motion and time Question 11. Data that is collected over a period of time is called time series data. Objectives At the end of this lesson, students will be able to: 1. We first show that the problem is NP-hard even for a very restricted subclass of AT-free graphs. History of Graph Theory Graph Theory started with the "Seven Bridges of Königsberg". NCERT Solutions Class 8 Mathematics PDF (Download) Free from myCBSEguide app and myCBSEguide website. The value entered for this parameter should be in the units of the Output Coordinate System environment setting. Year 10 distance time graph lesson 1. m 55 Answer the following questions: (a)Plot the graph of the distance travelled with time. This 3 act math task was created as a simple, yet powerful way to introduce distance-time graphs and other various graphs of linear and non-linear relationships between two variables. [9], is the smallest number of links whose removal increases the diameter or disconnect the graph. , A line passing through at least two different points on a curve is called a secant. The distance is calculated between frames 55-79, as this shows the distance from where the ball is released until it reaches peak height. A van accelerates uniformly from a velocity of 10 m s-1 to 20 m s-1 in 2. Independent variable is Time in years; Dependent variable is Weight in pounds. The line graph shows the revenue and costs of a small company between the years 1984 and 1990. In the given graph. When an o bject is at rest, its distance−time graph is a straight line parallel to the time axis. The difference in path and/or the duration of the transit from the two locations provides the angle opposite the baseline. Because displacement is just the velocity times the change in time. Teacher guide Interpreting Distance-Time Graphs T-1 Interpreting Distance-Time Graphs MATHEMATICAL GOALS This lesson unit is intended to help you assess how well students are able to interpret distance-time graphs and, in particular, to help you identify students who: • Interpret distance-time graphs as if they are pictures of. Speed = miles (Distance) per hour (Time). 6 Notice that the acceleration is a constant, the velocity increases linearly, and the location increases quadratically. There are several different R packages available for creating impressive plots, graphs and maps including plotly, ggplot2, ggvis, diagrammer - for diagrams, dygraphs - for time series data, leaflet - for plotting maps, graphviz - for graphs. Which color car finishes in first, second, and third place? 25. your distance from school as you leave your house and walk to school Time Distance (mi) 100. 33 and 15,000, or 4,950. Using these results, we can prove not only this new necessary condi-tion involving the degree, but also that some graphs are not biclique graphs. The distance energy E D (G) of a graph G is defined as The characteristic polynomial and eigenvalues of the distance matrix of a graph are considered in [6] [7] [8]14, 15, 18,36]. The further to the right on the axis, the longer the time from the start. Figure represents the speed time graph for a particle. e) Sketch the graph of the function for one period starting on January 1. ) The velocity-time plot is shown at the right. Jones leaves home and travels to work at a steady speed Mr. The distance-time graph below shows the journey. 0 5 10 15 20 time (s) -5. Specification content Specification notes; A14: Plot and interpret graphs (including reciprocal graphs) and graphs of non-standard functions in real contexts, to find approximate solutions to problems such as simple kinematic problems involving distance, speed and acceleration. y = x + 8; (8, 0) 3. On your distance/time graph, you should be plotting how far the car has travelled from the beginning up to each point. Invite students to share stories from homework graphs/answer questions. Making and Interpreting Graphs 1. Distance - Time Graph | Class 9 Physics Motion - Duration: 7:40. Again this is similar to the results of a breadth first search. With distance on the y-axis and time on the x-axis, a distance-time graph tells us how far someone/something has travelled and how long it took them/it to do so. The distance-time formula is d = vt Here, v = 40 km/hour. Year 10 distance time graph lesson 1. 5 m and 25 s Option 3) 112. Algorithms for graph matching,. These watches run with cells and are called quartz watches. b) Measuring motion. Lesson 13 Power. Materials Required Graph paper, pens, pencil, eraser, ruler. Below are two graphs that look the same. Mridul Verma | 9 "A" | 10 12 There are 3–Types of distance time graphs. Ivy League Acceptance Rates for Class of 2020 School. Time graph by sliding the points up or down. Used for a set 2 year 9 class. Generally, a vehicle travelling on a road does not travel at a constant speed throughout its journey. Draw a distance-time graph show the journey a milk delivery van makes one day. 5 min, 6 min, 7. sketching a graph to represent the relationship between the weeks and the total number of miles she has run. See discussion of algorithm classes in the Graphs 1 Lecture Notes. Time Graphs. Solution : The distance-time graphs number 3 shows a truck moving with speed which is not constant as distance being covered with respect to time is not the same and graph is a curve. They must read the story and create the time-distance graph that represents it. Her actual running distance is 4 Time (sec) Distance (yd) 0 123456789 10111213141516 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 0 Lupita Eli 3 yards Eli 15 5 4. If you would like to have problems on time, distance and speed as pdf document,. Motion Explain distance time graph. Your class gets to graph themselves in this full-body activity, plotting their own distance vs. In the paper, a canonical tree representation of a distance hereditary graph is proposed. 2) Describe the motion of an object through interpretation of such graphs. The increments should be of equal size, numbered, and start at 0. Plot a velocity–time graph for the same. Speed, distance, and time test - 10 questions to answer as quickly as possible. Sign up now to enroll in courses, follow best educators, interact with the community and track your progress. The distance-time graph below shows the journey. Constructing a Time Series Graph. 4-1 Practice (continued) Form K Using Graphs to Relate Two Quantities Total Miles Run Weeks Training 20 10 30 40 50 60 70 123 The line should continue increasing. ) Next, we extend the results for the class of ptolemaic graphs to the class of distance hereditary graphs. One of the two always takes on the drawing of the graph but I tell the class that I want to see participation on the part of both students in the form of discussion at least. In order to learn about objects, we need some way of gathering data from the world. The generalized distance spectrum of a graph and applications Lee DeVille Department of Mathematics, University of Illinois August 9, 2017 Abstract The generalized distance matrix of a graph is the matrix whose entries depend only on the pairwise distances between vertices, and the generalized distance spectrum is the set of eigenvalues of this. Solution 4S. Distance travelled = Area of triangle POQ = 1 —- * OQ * OP 2 In a speed time graph of a body a straight line sloping downwards indicates. The frequency is placed along the vertical axis and the class midpoints are placed along the horizontal axis. So since we had a horizontal position graph versus time, this slope is gonna give us the velocity in the ex direction. While the graph on the left shows distances from 250 – 300 yards, the graph on the right shows distances from 0 – 400 yards. Tracing paper may be used. If you move 50 meters in 10 seconds, what is your speed? 3. Question 9: Answer: (a) For uniform motion, the distance-time graph is a straight line (because in uniform motion object covers equal distance in equal interval of time. Time Graphs. com 1 Coordinate Geometry: Straight Line Graphs (Part 1) KS3 and KS4 1. !Shown below are six distance-time graphs!Each sentence in the table describes one of the graphs. The distance time graph for motion of an object with constant speed is a straight line. Distance (m) Time (s) 0. It gives me great pleasure in presenting the Reference Study Material in Class IX Physics for Annual Examination 2018. is just speed in a particular direction. Hope you like them and do not forget to like , social share and comment at the end of the page. The Corbettmaths Practice Questions on Distance-Time Graphs. Every point on the graph of a linear equation in two variables is a solution of the linear equation. 10) Which of the following will be Manhattan Distance between the two data point A(1,3) and B(2,3)? A) 1 B) 2 C) 4 D) 8. Bar Graphs and Dot Plots L E S S O N 1. The speed-time graph of a car is shown io the figure, which of the following statement is true? 7. Drawing such a distance - time line graph is quite simple. It gives the position of the car at some instants of time, namely 1. Distance-time graph is the plot of distance travelled by a body against time. Plan your 60-minute lesson in linear functions or Math with helpful tips from Rhonda Leichliter. 5 m and 15 s Option 4) 225. b) Find the temperature 7 hours after midnight. (iii) For which time intervals the body possesses (a) uniform retaralation (b) Constant velocity (iv) What will be the displacement of the body at (a) t = 3sec (b) t = 7sec (iv) Give one example of this kind of motion in everyday life situations. Find the distance covered by the particle between t=10min. R is the industry standard for creating scientific graphs and plots. Chuck then decelerates at -. Straight slope. Often, we draw graphs of time series data as line graphs that can be used to make predictions and draw conclusions. The second velocity-time chart shows a trolley moving at constant velocity. (i) 1 1 2 (ii) 3 hours Q. Procedure Let us consider a. Ascent Education India is an IIM Alumni Venture promoted to assist MBA aspirants prepare for Indian B School entrance exams such as GMAT, TANCET. Looking at the velocity time graphs (Questions 4 and 5), determine the units for a square of area on the graph. The first DRAWTEXT statement shows how to draw multiple lines of text in a specific position within the graph. From the point on the graph where this line intersects it, draw a line parallel to the x-axis. 25 mile/min 2 for 2 minutes. Calculate the distance. With O (n 2 log log n / log n) preprocessing time and space, distance queries in an n-vertex planar, unweighted, and undirected graph can be answered in constant time per query. Sign up now to enroll in courses, follow best educators, interact with the community and track your progress. Motion Explain distance time graph. graphs [34 ,38 39], and Kipf and Welling [30] especially applied it to semi-supervised learning on graph-structured data with scalability. There will be a different graph when the acceleration is decreasing with time. for Method 1, why do we need to check whether map contains the key while we would only visited each node once when building the graph?. Distance And Displacement Time Graphs. Khan Academy is a 501(c)(3) nonprofit organization. Velocity and Time Graph. In a distance-time graph; The average speed can be determined from the slope/gradient of the graph. Exercises to draw line graphs and double line graphs with a suitable scale; labeling the axes; giving a title for the graph and more are included in these worksheets. When solving distance problems we will use the relationship rt = d or rate (speed) times time equals distance. Velocity Time Graph Answer Key Some of the worksheets for this concept are Velocity time graph problems, Work 7 velocity and acceleration, Work motion graphs name, Describing motion with velocity time graphs, Work 3, Scanned documents, Physics name unit 1d motion period, Topic 3 kinematics displacement velocity acceleration. Key Concept How can you use a distance-time graph to calculate average speed? Directions: The distance-time graph above shows the varying speeds of a car, a train that stops at a station, and a roller coaster. In this page find physics numerical for class 9 motion with answers as per CBSE syllabus. time graphs to describe motion. The slope of the straight-line graph is the same irrespective of the interval which is chosen. DISTANCE-TIME GRAPHS Plotting distance against time can tell you a lot about motion. Speed, being a scalar quantity, is the rate at which an object covers distance. (Consider using a velocity-time graph. If you would like to have problems on time, distance and speed as pdf document,. isomorphism problem for ptolemaic graphs in linear time. and a Speed-Time Graph. The horizontal axis is used to plot the date or time increments, and the vertical axis is used to plot the values of the variable that we are measuring. One way to fix this problem is to use a hash table (see for example, the Dictionary class ) to store vertex names. Calculate the total braking distance. How do you know her graph must be incorrect?. How long did his journey take? 9. Time Graphs. Tell them that there are many ways to record information on different kinds of charts and graphs. I again walk around the watching the student pairs work together on this. Describe the type of motion each graph represents. The number of 4-door sedans is equal to the product of 0. In school we are doing distance time graphs and velocity and acceleration. R is the industry standard for creating scientific graphs and plots. Motion, CBSE Science Class 9 NCERT Solutions. Velocity Time Graphs ,Motion - Get topics notes, Online test, Video lectures, Doubts and Solutions for CBSE Class 9 on TopperLearning. Lesson shows students how to interpret distance-time graphs, use the speed, distance, time equation and leads students nicely into drawing tangeants and calculating speed from a graph. Draw the shape of the distance-time graph for uniform and non-uniform motion of object. CBSE Class 9 Science Revision Notes Chapter 8 Motion Motion occurs when an object changes its position with time. , e ( v ) in that order, where e ( v ) denotes the. A series of seconds, minutes, hours, days, weeks, months, quarters or perhaps number of years may represent time. I have made my teacher explain it a couple of times but I really do not understand! I have looked at the work book and my class book but I still don't understand it. Question Bank on Motion for Class 9 physics. Distance covered by first car before coming to rest is equal to Are of traingle AOB. Distance-time graphs are a way of visually expressing a journey. This activity is an introduction to the important "common g. Week 1 - Speed, Velocity and Speed Graphs Week 1 - Speed, Velocity and Speed Graphs Week 2- Forces Week 3 - Newton's Laws & MLQ (3 day week) Week 4 - Acceleration Graphs, Observations and Measurement Reteach distance-vs-time-graph-worksheet. To make reading the graph simpler, the leaves should be in numerical order. The stone which is projected horizontally has a horizontal velocity of 30 m/s. Speed-time graph acceleration & distance. Describe the relationship between the variables and draw a line of best fit. is just speed in a particular direction. Below is a graph of a person who walked to a nearby store (10 km north) and back to the original reference point, this would mean the total travelled distance is 20 km (10 km to the store and 10 km back). The calculated thinking distance is 2 x 102. Allow for 2-3 hours of class time for the entire lesson if all portions are done in class. (i) 1 1 2 (ii) 3 hours Q. In this case Distance time graph will be as follows Finding Velocity from Distance-Time Graph Summary Of Distance Time Graph Questions NCERT Question 6 - Fig 8. Instantaneous speed is the total distance covered divided by time. The city of Königsberg (formerly part of Prussia now called Kaliningrad in Russia) spread on both sides of the Pregel River, and included two large islands which were connected to each other and the mainland by seven bridges. Time (s) Time (s) Time (s) Time (s) Name: Class: Date: DISTANCE - TIME GRAPHS Review: Distance-time graphs are used to show the distance an object travels in a certain amount of time. Which of the graphs show that one of the runners started 10 yards further ahead of the other?_____ 2. The car leaves the first set of traffic lights. your distance from school as you leave your house and walk to school Time Distance (mi) 100. – 8 2 6 – 8x M1 for 6 – 8x A1 cao [SC M1 A0 for – 4 or 8] [2] 10. Given Figure Shows the Distance-time Graph of Three Objects A,B and C. asked Dec 1, 2017 in Class IX Science by saurav24 Expert ( 1. Description: This graduate course will explore topics around matrix multiplication and its use in the design of graph algorithms. Adding the 3 hours of class time, that’s about 180 hours over the course of the semester. Case 3: Velocity-time graphs with increasing acceleration. Total Distance vs. Graphing Position & Speed vs Time: Practice Problems. This lesson, based on the online distance-time graph simulation, provides for a truly meaningful learning experience for students. Make your own Graphs. to s r: u r a. Time of shortest path search with Dijkstra’s and A* algorithms in two original graphs (G 1,G 2) and time of shortest path search in four reduced graphs with the proposed approach Discussion The results shown in Table Table2 2 confirm the fact that, for large graphs, the run time of shortest path search with the proposed approach would be. Speed, velocity and acceleration. Match a graph with the appropriate situation. There will be a different graph when the acceleration is decreasing with time. how to draw the distance - time graph for activity 8. Hence, car B is the slowest. The slope of speed-time graph at any instant (at a certain time) will give the magnitude of acceleration at that time. How much time will it take to get to your class? 11. Displacement is the ______ ( actual/shortest ) path covered by a moving object from the initial point of reference in a specified direction. It represents the jerk or push of a moving object. 72 kph = 60 72u1000 u = 20 metres per second. On 1/4/2014 11:15 AM, Jason Friedman wrote: > I am teaching Python to a class of six-graders as part of an > after-school enrichment. Have difficulty relating speeds to slopes of these graphs. Acceleration Using A Velocity Time Graph Example Problems With Solutions. how do i take a velocity vs time graph and make it a distance vs time graph? thanks for your help, heres the exact question "Using the velocity vs time graphs, sketch the distance vs time graph for each of the graphs that you matched. If vertex can't be reached from given source vertex, print its distance as infinity. (Distance is measured by odometer in vehicles. I again walk around the watching the student pairs work together on this. Now, in the given figure we can see that the slope of distance time graph of object B is the maximum, hence object B has the maximum speed. Which statement could describe the dog's movement 5 seconds after the command was given The dog was running towards the trainer to receive a treat. In which of the following graphs is the runner running the fastest? 2. The value entered for this parameter should be in the units of the Output Coordinate System environment setting. Often, we draw graphs of time series data as line graphs that can be used to make predictions and draw conclusions. •Take a minute to go through the 4 graphs in this part of the packet and highlight the lines on the graph depicting motion. Rs Aggarwal 2018 Solutions for Class 8 Math Chapter 23 Line Graphs And Linear Graphs are provided here with simple step-by-step explanations. In our class, however, we’ll mainly deal with constant acceleration. Once graphed, the entire class has the exact same distance versus time graph. Adjacent graph shows the uniform motion of an object. The graph of x = a is a straight line parallel to the y-axis. Distance – Time Graph: When an object is moving with uniform velocity, the slope of graph is always a straight line. If we note the distance travelled by the object at equal intervals of time (like every second or every minute), we will get a clearer picture of its speed at different points of time. Exercises to draw line graphs and double line graphs with a suitable scale; labeling the axes; giving a title for the graph and more are included in these worksheets. Every distance-hereditary graph is also a parity graph , a graph in which every two induced paths between the same pair of vertices both have odd length or both have even length. Tracing paper may be used. 0 m length at a speed of 5. Lesson 6 Velocity-time graphs. displacement-time graphs can you have negative distance on a distance time graph? How do you know whether to plot rate or distance on a graph? Can you draw longitudinal waves on a displacement-distance graph? A level maths help Velocity & Time Graphs, HELP!!!!!. Distance and displacement are two quantities that may seem to mean the same thing yet have distinctly different definitions and meanings. The graph below describes the motion of a fly that starts out going right. 6 Notice that the acceleration is a constant, the velocity increases linearly, and the location increases quadratically. Independent variable is Time in months; Dependent variable is Height in inches. A velocity-time graph for a non-uniform accelerated motion can be of any shape. The characteristic polynomial and the eigenvalues of the distance matrix of a graph were considered in [7] [8] [9]13, 14, 29]. Speed, distance, and time test - 10 questions to answer as quickly as possible. For instance, in towns the speed limit is 30 miles per hour. Two stones are thrown up simultaneously from the edge of a cliff 240 m high with an initial speed of 10 m/s and 40 m/s respectively. The idea here is to understand what purpose a graph surves. Attched is the image · Hi Aashish, When you use chart web. Distance-Time graph of a object at Uniform Motion. To describe the motion of an object in a straight line graph there are two different types of. Adding the 3 hours of class time, that’s about 180 hours over the course of the semester. , A line passing through at least two different points on a curve is called a secant. 0 m length at an average speed of 1. He was named one of Tech & Learning's 30 Leaders of the Future. Mixed sparsity graph characterisations are obtained for the infinitesimal and continuous rigidity of completely regular bar-joint frameworks in a variety of such contexts. In the paper, a canonical tree representation of a distance hereditary graph is proposed. There are three basic types of graph that you can create in Excel, each of which works best for certain types of data: Bar - Displays one or more sets of data using vertical bars. A reminder Speed = distance time taken d S x t Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. Verma This is one of my favorite Physics book for class 9. • demonstrate that the brightness of a source of light is a function of the inverse square of its distance. We will focus on problems such as transitive closure, shortest paths, graph matching, and many other classical graph problems. The characteristic polynomial and the eigenvalues of the distance matrix of a graph were considered in [7] [8] [9]13, 14, 29]. Algorithms for graph matching,. (a) It is clear from graph that B covers more distance in less time. Earth and space science is a study of the history of the earth, its life recorded in rocks, and the celestial bodies. The variables include acceleration (a), time (t), displacement (d), final velocity (vf), and initial velocity (vi). There are several different R packages available for creating impressive plots, graphs and maps including plotly, ggplot2, ggvis, diagrammer - for diagrams, dygraphs - for time series data, leaflet - for plotting maps, graphviz - for graphs. 0 m length at an average speed of 1. Having the class in the computer lab is a great change of scenery and allows them to have a science activity that will engage them. y, write a linear equation for this information and draw its graph. DISTANCE-TIME GRAPHS Plotting distance against time can tell you a lot ab out motion. A straight line parallels to time-axis on a distance-time graph so that the object is: 6. Each chapter has a large number of Numerical Problems along with all concepts and. time graphs for each group Lesson: Review concepts from Day Two. These solutions for Line Graphs And Linear Graphs are extremely popular among Class 8 students for Math Line Graphs And Linear Graphs Solutions come handy for quickly completing your homework and preparing for exams. Math Videos - Unit 4 Modelling With Graphs in MPM1D Grade 9 Academic Math. These edges might be weighted or non-weighted. Complete lesson on distance time graphs. The number of 4-door sedans is equal to the product of 0. Each worksheet has 10 problems reading a line graph to answer question. The first DRAWTEXT statement shows how to draw multiple lines of text in a specific position within the graph. , make a table of values for 0 to 10 minutes for a heart rate of 68 beats per minute, then graph the relationship. Time Graphs. Specifically, we transform each instance of the time-varying graph into a metric space, extract topological features using persis-tent homology, and compare those features over time. The issue is I need to create a random undirected graph to test the benchmark of Dijkstra's algorithm using an array and heap to store vertices. A motorcyclist riding motorcycle A who is travelling at 36 km/h applies the brakes and stops the motorcycle in 10 s. Acceleration tells us the change in direction or rate of speed. Question 12. English Language Learners ELL Verify that students understand the. Distance Distance Time Interval (cm) (cm) (s) (cm/s) 12 12 1 12 12 24 2 12 12 36 3 12 4. Time Graphs - To the right is a typical graph displaying Distance vs. Whichever kind of graph you go with, make sure you clearly label all of the variables so your graph is easy to read. NCERT Question 6 - Chapter 8 Class 9 - Motion Last updated at May 23, 2019 by Teachoo Fig 8. Total Time 42 This graph shows the 2-speed car moves 36 equal distance in equal d time for the first 3 s, Total 30 but from 3 s to 5 s, more Distance distance is covered in (cm) 24 equal time, showing a greater velocity (also. (a)Use the graph to find the velocity of the car after 15 seconds. The Basic Graph: Y vs. DISTANCE-TIME GRAPHS Plotting distance against time can tell you a lot ab out motion. There are several different R packages available for creating impressive plots, graphs and maps including plotly, ggplot2, ggvis, diagrammer - for diagrams, dygraphs - for time series data, leaflet - for plotting maps, graphviz - for graphs. I again walk around the watching the student pairs work together on this. Figure 3-2 A ball is thrown vertically upward from the surface of the Earth. When solving distance problems we will use the relationship rt = d or rate (speed) times time equals distance. Then they return to the school for the rest of the school day. sqrt( mod((1-2)) + mod((3-3))) = sqrt(1 + 0) = 1. The known distance between the two points of observation is the baseline of a triangle.