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Let’s assume there is some particle with mass = 1 kg initially moving with a velocity of 1 m/s in the + x direction. Object can have zero acceleration and non zero velocity at the same time when velocity is constant , that is in uniform motion. For example, a car traveling at a constant 90 km/h in a straight line has nonzero velocity and zero acceleration. Here velocity of car is 90 km/hr.
This happens when an object is at rest and when a force is applied on it such as gravity. Can an object have zero acceleration and nonzero velocity at the same time? Throwing a ball in the air and having it come back down is a basic concept of why there is non zero acceleration at a zero velocity. You throw a pencil up in the air and at the apex of the projectile, the velocity will always be zero but because of acceleration due to gravity (9. 81m/s^2), the acceleration will never be zero.
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