A cart that is free to move in one dimension is moving in the positive direction and slowing down under the influence of a constant backwards pull until the cart comes to a momentary stop and reverses direction.
What are the signs of the cart's velocity and acceleration during the moment it is stopped?

v e l o c i t y : 0 a c c e l e r a t i o n : +

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v e l o c i t y : + a c c e l e r a t i o n : 0

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v e l o c i t y : 0 a c c e l e r a t i o n : -

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v e l o c i t y : - a c c e l e r a t i o n : 0

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Solution

The correct option is C $v e l o c i t y : 0 a c c e l e r a t i o n : -$
Since the cart has stopped at the moment, the speed and hence the velocity of the cart is zero.
However the cart achieves negative velocity later, which means that it should be accelerating in the negative direction to raise velocity from zero to finite value in negative direction.
Hence correct answer is option C.

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