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Question 2 (Select all that apply) In kinematics, if acceleration is constant and non-zero. ) The position vs time graph is linear The position vs time graph is curved The velocity vs time graph is linear The velocity vs time graph is curved

Question 2 (Select all that apply) In kinematics, if acceleration is constant and non-zero. ) The position vs time graph is linear The position vs time graph is curved The velocity vs time graph is linear The velocity vs time graph is curved

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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Question 2 (Select all that apply) In kinematics, if acceleration is constant and non-zero... ) The position vs time graph is linear The position vs time graph is curved | The velocity vs time graph is linear | The velocity vs time graph is curved
Transcribed Image Text:Question 2 (Select all that apply) In kinematics, if acceleration is constant and non-zero... ) The position vs time graph is linear The position vs time graph is curved | The velocity vs time graph is linear | The velocity vs time graph is curved
Expert Solution
Step 1

Case 1, If the position and time graph is linear.

For example, 

The position equation is x(t)=at+b

Where a and b is the constant value.

Then the velocity of the particle is,

v(t)=d(x)dt=d(at+b)t=a

The acceleration of the particle is calculated as,

a(t)=d(v)dt=d(a)t=0

So, by the above calculation, it is clear that if the position and time graph is linear then the acceleration is zero. Therefore the first option is not correct.

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