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1. Visualization (a) The middle graph below shows the velocity of a mouse (running back and forth along a narrow track) as a function of time. At t=0 the mouse's position is x = +3 m. Sketch qualitatively accurate graphs of the mouse's position x(t) and acceleration v(t), if v₂ (0) = 1 m/s. x(t) v(t) 1m/s -1m/s a(t) zt zt 3+ 3 4 4 4 (b) At time t-4s, what is the mouse's position? (c) At time t=2s, what is the mouse's acceleration? t (sec) t (sec) t (sec)

1. Visualization (a) The middle graph below shows the velocity of a mouse (running back and forth along a narrow track) as a function of time. At t=0 the mouse's position is x = +3 m. Sketch qualitatively accurate graphs of the mouse's position x(t) and acceleration v(t), if v₂ (0) = 1 m/s. x(t) v(t) 1m/s -1m/s a(t) zt zt 3+ 3 4 4 4 (b) At time t-4s, what is the mouse's position? (c) At time t=2s, what is the mouse's acceleration? t (sec) t (sec) t (sec)

College Physics
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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1. Visualization (a) The middle graph below shows the velocity of a mouse (running back and forth along a narrow track) as a function of time. At t=0 the mouse's position is x = +3 m. Sketch qualitatively accurate graphs of the mouse's position x(t) and acceleration v(t), if v₂ (0) = 1 m/s. x(t) v(t) 1m/s -1m/s a(t) 2 3 4 4 (b) At time t-4s, what is the mouse's position? (c) At time t=2s, what is the mouse's acceleration? t (sec) t (sec) t (sec)
Transcribed Image Text:1. Visualization (a) The middle graph below shows the velocity of a mouse (running back and forth along a narrow track) as a function of time. At t=0 the mouse's position is x = +3 m. Sketch qualitatively accurate graphs of the mouse's position x(t) and acceleration v(t), if v₂ (0) = 1 m/s. x(t) v(t) 1m/s -1m/s a(t) 2 3 4 4 (b) At time t-4s, what is the mouse's position? (c) At time t=2s, what is the mouse's acceleration? t (sec) t (sec) t (sec)
Expert Solution
Step 1

Given that,

the initial position t=0 of the mouse is xo=+3m and the velocity uo=+1m/s

 

From the graph,

the velocity is constant from t=0s to t=1s

And it is u1=+1m/s

So the acceleration will be zero 

Then the position of the mouse at the time t where 0≤t≤1 s will be

x1=xo+u1t=3+t

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