Question

is it possible that an object with a constant acceleration is with zero speed​

Answer 1

No it is not possible that an object with a constant acceleration is with zero speed.

As per as definition of acceleration, The acceleration is a rate of change of velocity. And, if any object is at rest, then it doesn't mean that, the speed of object is zero. If the object is having a constant acceleration, then there is no change in the velocity of an object.

So, by the definition of acceleration, The acceleration is rate of change of velocity. In the given condition, There is no any change in the speed and velocity.

So, if there is no any acceleration, it means that, there is no change in its speed and velocity in the given condition. Hence, it is not possible that an object with a constant acceleration is with zero speed.

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Definition of acceleration: Change in the velocity of any object is called as Acceleration.

Formula of acceleration:

Acceleration = Final Velocity - Initial velocity / Time

$a \: = \binom{v - u}{t}$

Answer 2

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(a) An object with a constant acceleration but with zero velocity. Change in velocity is known as acceleration. ... Hence, we can say that an object moves with acceleration and constant speed in a uniform circular motion.

(c) An object moving in a certain direction with acceleration in the perpendicular direction.