What can you say about the motion of a body if its velocity-time graph is parallel to the time axis?

When velocity time graph is a straight line parallel to time axis then it means .

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its acceleration is const

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its acceleration is variable

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State which of the following situations are possible and give an example of each of these:

(a) a body moving with constant acceleration but with zero velocity.

(b) a body moving in a certain direction with an acceleration in the perpendicular direction.

(a) Even when a body's velocity is zero a body can have acceleration. 

For example, when a body is thrown up, at it's highest point veocity is zero. But, the acceleration of the body is equal to acceleration due to gravity.

(b) It is possible to have acceleration in the perpendicular direction for a body moving in a certain direction. 

For example, an aeroplane moving horizontally is acted upon by acceleration due to gravity that acts vertically downwards.