Question

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Answer 1

QUESTION:

Which of the following situation is possible.

• An object can can have acceleration but constant velocity.

• The velocity of the object may be zero, but acceleration is non zero.

• Distance and magnitude of displacement are equal in circular motion.

• Average speed and magnitude of average velocity are always equal.

ANSWER:

• The velocity of the object may be zero, but acceleration is non zero.

GIVEN SITUATIONS:

• An object can can have acceleration but constant velocity.

• The velocity of the object may be zero, but acceleration is non zero.

• Distance and magnitude of displacement are equal in circular motion.

• Average speed and magnitude of average velocity are always equal.

TO FIND:

• The possible situation.

EXPLANATION:

An object can can have acceleration but constant velocity:

$\boxed{ \bold{ \large{ \purple{v = u + at}}}}$

$\bigstar\ \bf Constant\ velocity \implies v=u$

$\tt \dashrightarrow v = v + at$

$\tt \dashrightarrow 0 =at$

$\tt \dashrightarrow a = 0( \because \ t \not= 0 )$

$\boxed{ \bold{ \gray{This \ situation \ is \ impossible}}}$

The velocity of the object may be zero, but acceleration is non zero:

$\boxed{ \bold{ \large{ \orange{v = u + at}}}}$

$\bf Let\ the \ final\ velocity \ be\ zero$

$\tt 0 =u + at$

$\tt - u = at$

$\tt a = - \dfrac{ u}{t}$

$\boxed{ \bold{ \gray{This \ situation \ is \ possible}}}$

Distance and magnitude of displacement are equal in circular motion:

• In circular motion assume a body completed one round.

• Here displacement is zero but distance is equal to the circumference of the circle.

• Applicable only for object moving in a straight line path.

$\boxed{ \bold{ \gray{This \ situation \ is \ impossible}}}$

Average speed and magnitude of average velocity are always equal:

• It will be equal only when the motion of the body is in straight line and in same direction.

• Avg. Speed = Total distance / Total time

• Avg. Velocity = Total displacement / Total time

• It is equal only when distance = Magnitude of displacement.

• It cannot be equal always.

$\boxed{ \bold{ \gray{This \ situation \ is \ impossible}}}$

Answer 2

The velocity of an object may be zero but the acceleration is not zero.

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