An object may have
(a) varying speed without having varying velocity
(b) varying velocity without having varying speed
(c) nonzero acceleration without having varying velocity
(d) nonzero acceleration without having varying speed.
The correct option is (b) and (d).
Explanation:
If velocity is constant speed cannot vary.
So option a is incorrect. In a uniform circular motion velocity varies but speed remains constant .
Since velocity varies acceleration is non zero.
So b and d are correct.
Without changing in varying velocity, we cannot have acceleration. So option c is incorrect.