Read each statement below carefully and state with reasons and examples, if it is true or false ;A particle in one-dimensional motion(a) with zero speed at an instant may have non-zero acceleration at that instant(b) with zero speed may have non-zero velocity,(c) with constant speed must have zero acceleration,(d) with positive value of acceleration must be speeding up.

(a) True.

Explanation: When an object is vertically thrown upwards, at maximum height its velocity becomes zero. However, its acceleration remains constant (acceleration due to gravity).

(b) False.

Explanation: Speed and velocity have same magnitude for a body. So, If a body is having zero speed it should have zero velocity.

(c) True.

Explanation: Acceleration is defined as change in velocity with respect to time. Thus, If change in velocity is zero acceleration is also zero.

(d) False.

Explanation: When a body is vertically thrown upwards. Even though positive acceleration the body have it will slowly speeding down due acceleration due to gravity.

True.

Explanation: When a body is freely falling from a height. Acceleration due to gravity speedup the body.

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