Question

Can the velocity of a particle be equal to zero at a given instant, and yet be varying with time? Explain with two examples.​

Answer 1

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A deceleration can reduce the velocity of a particle to zero and then increase it in a direction opposite to its initial velocity. At the turning point of the motion, the particle has an acceleration but its instantaneous velocity is zero.

$\boxed{\boxed{Example:}}$

(1) When a particle is thrown straight up, the Earth's gravitational force, being downward, decelerates the particle until its velocity becomes momentarily zero. At this peak point of its motion, the particle has zero instantaneous velocity but constant downward acceleration

(2) When a particle performs oscillatory motion, at both the extreme positions (the turning points ) of the motion, the particle has zero instantaneous velocity and a non-zero acceleration.

[Note : In the second case, the acceleration is not constant. At the extreme positions, the acceleration has its maximum value]

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