(d) At what time(s) does the object turn around, or change the direction in which it is moving (in other words, what are its turning points)? What is velocity at these time(s)?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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please answer d

The position vs. time graph for an object traveling in one dimension is shown below:
x [m]
1
-1
-2
-3
N
4
5
7
-
From t = Os to t = 2s, position is given by x = -0.5t² +t; from t = 2s to t = 4s, position
is given by x = 2-t; and from t 4s to t 8s, position is given by x = 0.25t² - 3t+6.
(a) Draw a set of three stacked graphs describing this motion, i.e. reproduce the x(t)
graph, below it draw v(t), and below that draw ax(t). For each graph, be sure
to write the appropriate equations describing the curve, in addition to drawing the
curve. Make each graph as quantitatively precise as possible.
(b) Over which time interval(s) is velocity constant?
(c) Over which time interval(s) is acceleration constant?
(d) At what time(s) does the object turn around, or change the direction in which it
is moving (in other words, what are its turning points)? What is velocity at these
time(s)?
Transcribed Image Text:The position vs. time graph for an object traveling in one dimension is shown below: x [m] 1 -1 -2 -3 N 4 5 7 - From t = Os to t = 2s, position is given by x = -0.5t² +t; from t = 2s to t = 4s, position is given by x = 2-t; and from t 4s to t 8s, position is given by x = 0.25t² - 3t+6. (a) Draw a set of three stacked graphs describing this motion, i.e. reproduce the x(t) graph, below it draw v(t), and below that draw ax(t). For each graph, be sure to write the appropriate equations describing the curve, in addition to drawing the curve. Make each graph as quantitatively precise as possible. (b) Over which time interval(s) is velocity constant? (c) Over which time interval(s) is acceleration constant? (d) At what time(s) does the object turn around, or change the direction in which it is moving (in other words, what are its turning points)? What is velocity at these time(s)?
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