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Q.

Mark the correct statements for a particle going on a straight line:

a) If the velocity and acceleration have opposite sign, the object is slowing down.

b) If the position and velocity have opposite sign, the particle is moving towards the origin.

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

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

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a

a, b & c are correct

b

b & d are correct

c

All are correct

d

a, b & d are correct

answer is C.

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Detailed Solution

Take a pendulum at it’s extreme points the velocity is zero but it’s accelerating(even though magnitude of instantaneous velocity is zero at that instant.
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