Question

A body will have uniform acceleration if its:
A) Speed changes at uniform rate.
B) Velocity changes at uniform rate.
C) Speed changes at non-uniform rate.
D) Velocity remains constant.

Answer 1

Hint: Velocity is defined as the rate of change of displacement with respect time. Acceleration is defined as the rate of change of velocity with respect to time. If a velocity of a body continuously increases with the same rate then the acceleration of the body is linearly increasing but if the velocity of the body is continuously decreasing then the body is having acceleration.

Complete step by step answer:
It is given in the problem that a body has uniform acceleration and we need to tell in which condition the acceleration becomes uniform.
As the rate of change of velocity is known as acceleration and in order to have a uniform acceleration the rate of change of velocity should also be uniform rate this is the only condition for a body to have uniform acceleration.
The correct option for this problem is option B.

Additional Information: The acceleration on a body due to acceleration due to gravity is always constant. If the acceleration due to gravity is acting on a body which at height h then the initial velocity of the object is zero but here as the acceleration due to gravity is always constant therefore the velocity will change and the change in the velocity will be uniform because the acceleration due to gravity acting on the body is constant.

Note: The change of velocity with respect to time produces acceleration and it can positive or negative the positive state of acceleration means the body will increase its velocity but if the acceleration comes out to be negative then it is acceleration and the final velocity of the body will be less than the initial velocity.