An object may have :-
A) varying speed without having varying velocity.
B) varying velocity without having varying speed.
C) non zero acceleration without having varying velocity.
D) non zero acceleration without having varying speed.
Explain your answer.
An object may have :-
A) varying speed without having varying velocity.
B) varying velocity without having varying speed.
C) non zero acceleration without having varying velocity.
D) non zero acceleration without having varying speed.
Explain your answer.
(a) Not possible, speed and velocity are same in magnitude, so varying speed is not possible with same veloctiy.
(b) When a body moves in a circular path with constant speed it has varying velocity due to its changing direction but its magnitude of velocity is constant which is nothing but the speed. Thus, varying velocity without having varying speed is possible for an object.
(c) acceleration is the rate of change of velocity, so without changing the velocity the acceleration can not be non zero.
(d) When a body moves in a circular path the acceleration is non zero (v^2/R) and we can also keep the speed constant, so it is possible.
(a) Not possible, speed and velocity are same in magnitude, so varying speed is not possible with same veloctiy.
(b) When a body moves in a circular path with constant speed it has varying velocity due to its changing direction but its magnitude of velocity is constant which is nothing but the speed. Thus, varying velocity without having varying speed is possible for an object.
(c) acceleration is the rate of change of velocity, so without changing the velocity the acceleration can not be non zero.
(d) When a body moves in a circular path the acceleration is non zero (v^2/R) and we can also keep the speed constant, so it is possible.
