Position (m) 50 40 30 20 10 1.0 2.0 3.0 4.0 5.0 6.0 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 57P: Vector A is 3.00 units in length and points along the positive x-axis. Vector B is 4.00 units in...
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Question
The figure shows a graph of the position of a moving object as a function of time. What is the velocity of the object at each of the following times?
a) At t = 1.0 s
b) At t = 2.5 s
c) At t = 4.0 s
Position (m)
50
40
30
20
10
1.0 2.0 3.0 4.0 5.0 6.0
Time (s)
Transcribed Image Text:Position (m) 50 40 30 20 10 1.0 2.0 3.0 4.0 5.0 6.0 Time (s)
Expert Solution
Step 1

From graph we can say the acceleration from 0 to 2s,2 to 3s,3 to 5s and 5 to 6s is zero(since the slope is constant).

hence instantaneous valocity is equal to average velocity.

we use second equation of motion

s= u*t+0.5*a*t^2

(a)  s=u*t + 0

     (20-0)=u*(2-0)

     u=10m/s  answer

(b)  (40-20) = u*(3-2)

      u=20m/s;

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