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Question

When applying the equations of kinematics for an object moving in one dimension, which of the following statements must be true?

A

The velocity of the object must remain constant.

B

The acceleration of the object must remain constant.

C

The velocity of the object must increase with time.

D

The position of the object must increase with time.

E

The velocity of the object must always be in the same direction as its acceleration.

Medium

Solution

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Correct option is
B

The acceleration of the object must remain constant.

The derivation of the equations of kinematics for an object moving in one dimension was based on the assumption that the object had a constant acceleration. Thus, (b) is the correct answer. An object would have constant velocity if its acceleration were zero, so (a) applies to cases of zero acceleration only. The speed (magnitude of the velocity) will increase in time only in cases when the velocity is in the same direction as the constant acceleration, so (c) is not a correct response. An object projected straight upward into the air has a constant downward acceleration, yet its position (altitude) does not always increase in time (it eventually starts to fall back downward) nor is its velocity always directed downward (the direction of the constant acceleration). Thus, neither (d) nor (e) can be correct

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