ith the rest of your homework. (b)[3 pts] Why do we like to plot things in a str
ID: 2000717 • Letter: I
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ith the rest of your homework. (b)[3 pts] Why do we like to plot things in a straight line relationship and get our answer from the slope (c) 4 pts] Let's say we knew what the theoretical y-intercept should be for our straight line. If we had a Open-Response Homework Problem 3.2 Two people are standing at 3m. At t5s, they begin running when we can systematic error, would we want to include this as a data point? Why or why not? 28 m at t in opposite directions with constant speeds. Person A runs until he stops at until she stops at-9m att-9s. 15s. Person B runs (a)[3 pts] What are the distances traveled by each person? (b)[4 pts] What are the displacements of each person? (c)[4 pts] What are the speeds of each person while they are moving? (d)[4 pts] What are the average velocities of each person for their motions? Open-Response Homework Problem 3.3 x (m) 0 0 The above figure is the position (in meters) versus time (in seconds) graph of an object in motion. Only the segments between t = 1 s and t-2s, and between t = 4s and t = 5s, are straight lines. The peak of the curve isat t = 3s, x = 4 m. Answer the following questions, and provide a brief justification for your answer in every case (a)[2 pts] At what time(s) is the object's velocity equal to zero? (b) [4 pts] For what range(s) of times is the object moving with constant velocity? (012 pts) what is the object's position coordinate at t = 1 s? (d)[3 pts] What is the displacement of the object between t = 1s and t = 4s? (e)[2 pts] what is the distance traveled between t = 1 s and t = 4s?Explanation / Answer
in a graph of position versus time, speed is the slope of the tangent line at a given point ( its derivative ). So, for the Part A we must see the values where the slope is zero (its absolute maximum). That means at T = 3 s that slope is completely horizontal in this point. For the Part B we must see the ranges where the tangent lines have always the same slope, this corresponds to the portions between t = 1s and t = 2s and between t = 4s and t = 5s. if the velocity takes the same value between two points, the acceleration is zero.
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