Question

is there any situation in which a body has constant speed but variable velocity

Answer 1

When a body moves in a rotational motion with uniform speed, its direction of motion keeps changing. Since velocity is a vector quantity, the body has constant speed but variable velocity.

Answer 2

When an object is travelling in a circular path.The magnitude of its speed is same but the direction of velocity is changing at every instant.thus we can say that body is moving with con speed and variable velocity.