Mark the correct statement (s) for a particle moving along a straight line:

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If the velocity and acceleration have the opposite signs, the object slows down.

If the position and velocity have the opposite signs, the particle moves towards the origin.

If the velocity is zero at an instant, the acceleration should also be zero at that instant.

If the velocity is zero for a time interval, the acceleration is zero at any instant within the time interval

answer is A, B, D.

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Detailed Solution

Given that a particle is moving in a straight line.

Let us evaluate the given options

Option (a) it is true because when velocity and acceleration are opposite to each other the velocity of the body gradually decreases and body will slow down.

Option (b) it is true because position and velocity of a body are given to be depending on each other such that velocity is opposite to the position. i.e. if position gained is 3 units from origin then body will gain velocity – 3 units.

Finally position will be zero then velocity will become zero. Therefore the body will reach origin.

Option (c) it is not true because when velocity of a body becomes zero we can say certainly that acceleration is also zero.

Option (d) it is true because if velocity of a particle is said to be zero in an interval then body is completely remained in rest position so obviously acceleration will become zero

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