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Chapter 1: Q14DQ (page 58)

Under constant acceleration the average velocity of a particle is half the sum of its initial and final velocities. Is this still true if the acceleration is not constant? Explain.

Short Answer

Expert verified

No, the acceleration is not constant.

Step by step solution

01

Given information

It is given that under constant acceleration, the average velocity of a particle is half the sum of its initial and final velocities.

02

Determine whether the given statement is true for acceleration or not

Consider a counterexample.

Start from rest (initial velocity 0). Run a kilometer away along a straight line, and then stop, where the final velocity becomes 0.

The average velocity is not zero, but the average of the initial and final velocities is 0.

As, acceleration is the ratio of change in average velocity to time, so the acceleration is not constant.

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