If a particle moves with an acceleration then which of the following can remain constant

A) both speed and velocity

B) neither speed nor velocity

C) only the velocity

D) only the speed

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Solution

D) Only the speed

Acceleration is defined as the rate of change of velocity. Since velocity is a vector quantity (it has both magnitude and direction) defined as speed in a particular direction, any change in either speed or direction of travel is a change in velocity. Acceleration therefore occurs whenever an object changes direction- for example, a car driving around a roundabout is constantly accelerating even if its speed does not change.

Thus, we conclude that if the particle has non-zero acceleration, the speed can be a constant but the velocity cannot. (If velocity is constant, the acceleration will be zero.)

Hence, answer will be D) only the speed

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Similar questions

Mark the correct statement(s)
(1) If speed of a body is varying, its velocity must be varying and it must have non-zero acceleration.

(2) If velocity of a body is varying, its speed must be varying.

(3) A body moving with varying velocity may have constant speed.

(4) A body moving with varying speed may have constant velocity, if its direction of motion remains constant.

An object moves with non-uniform acceleration. Then it have

1. Variable velocity and constant speed

2.Constant speed and velocity

3.Variable speed and constant velocity

4.Zero instantaneous velocity and non-zero speed

A s s e r t i o n :

R e a s o n :

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