The velocity of a particle is zero at time t= 2 , then (A) accelerati

1.	The velocity of a particle is zero at time t= 2 , then (A) acceleration must be zero at t= 2 (B) displacement must be zero in the interval t = 0 to t = 2. (C) acceleration may be zero at t= 2 (D) velocity must be zero for t> 2
Answer» Correct option (C ) acceleration may be zero at t=2 Explanation: Let us consider an example in which particle is projected vertically upward from ground at t=0 and it reaches highest point at t=2 Then at that instant(t=2) velocity v=0 but acceleration=−g. Here displacement is non zero for the duration t=0 to t=2. For t>2 the ball again acquires velocity. In this example options(A ),(B ) and (D) are incorrect Let us consider another example in which a particle is moving on horizontal plane and it comes to rest permanently at t=1 ,then this is the one of the special case in which acceleration of particle is zero at t=2.

The velocity of a particle is zero at time t= 2 , then (A) acceleration must be zero at t= 2 (B) displacement must be zero in the interval t = 0 to t = 2. (C) acceleration may be zero at t= 2 (D) velocity must be zero for t> 2

Answer»

Correct option (C ) acceleration may be zero at t=2

Explanation:

Let us consider an example in which particle is projected vertically upward from ground at t=0 and it reaches highest point at t=2

Then at that instant(t=2) velocity v=0 but acceleration=−g. Here displacement is non zero for the duration t=0 to t=2. For t>2 the ball again acquires velocity. In this example options(A ),(B ) and (D) are incorrect

Let us consider another example in which a particle is moving on horizontal plane and it comes to rest permanently at t=1 ,then this is the one of the special case in which acceleration of particle is zero at t=2.

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