In: Physics
1) yes it is possible that there is non zero acceleration when velocity is zero . Take an example of ball thrown vertically upwards, it undergoes a motion under the influence of constant acceleration , that is Acceleration due to gravity pointing vertically downwards. At the highest point of motion , the ball comes to momentarily rest and at this point velocity is zero but acceleration is not zero and has a constant magnitude of 9.8 m/s^2 acting in downward direction.
2) yes it is possible that an object has zero acceleration but has non zero velocity. Example, think of a car moving on a straight road at a constant speed of 50 mph , in this case , its speed is not changing with respect to time , thus it is moving with non zero velocity but zero acceleration.
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