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A force of ' $p$ ' acts on a particle so as to accelerate it from rest to a velocity $v m / s$ in $t$ time. The force ' $p$ ' is then replaced by ' $q$ '. In which one of the following cases, ' $q$ ' decelerates it to the rest state in the same amount of time( $t$ ).

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p

must be less than

q

p

must be equal to

q

p

must be more than

q

None of these

answer is B.

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Detailed Solution

In the above case, p may be equal to q.
An equal force must be applied in the opposite direction of its velocity to decelerate a body in an equal amount of time. According to the condition of motion under two forces,

p

and

q

must be equal and should act in opposite directions.

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