Q. 114.3( 48 Votes )

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.

Answer :

(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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