Can A Body Have A Constant Speed And Still Have A Varying Velocity?

Yes if the body is travelling with uniform speed in a circular track its speed remains the same but the velocity is non-uniform as the direction of the body is changing every time.

One simple example is what we call Uniform Circular Motion (Uniform circular motion can be described as the motion of an object in a circle at a constant speed). For example, consider a vehicle moving with a constant speed on a circular path. Here, the speed is constant, but the direction of the vehicle is changing continuously. As we know, velocity is a vector quantity, so as the direction of motion changes, velocity also changes.

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