An object may have
(I) varying speed without having varying velocity.
(II) varying velocity without having varying speed.
(III) non-zero acceleration without having varying velocity.
(IV) non-zero acceleration without having varying speeds.
$\left( A \right)$ I and II are correct.
$\left( B \right)$ II and III are correct.
$\left( C \right)$ II and IV are correct.
$\left( D \right)$ None of the above.

Hint: The velocity can be derived from the newton equation by the method of integration. Velocity is the rate of change of displacement. First, find the velocity along the x-axis than along the y axis. Then equate the two equations. Then obtain one of the above equations using the above equations.

Complete answer:
To describe the apposition of a body, its velocity, or acceleration relative to the frame of reference we use the kinematic equation. Velocity is the rate of change of displacement. From the newton equation, velocity is derived by the method of integration.
Integration of velocity results in the acceleration equation. If the motion starts from rest and the frame of reference should be the same, the initial velocity will be zero. If the motion starts from rest and the frame of reference should be the same.
It is a scalar quantity. If the uniform motion is attained by a body along a straight line when that body is moving with uniform velocity.
Displacement Cannot or can be equal to the path length traveled of an object. Distance to unit time is called speed. Equation integration results in the distance equation.
From the above statement, we can say that speed is scalar quantity and velocity is a vector. The velocity of an object changes since velocity is a vector quantity.
So statements (II) and (IV) are the right statements.

Hence option $\left( C \right)$ is the correct option.

Note: The motion starts from rest and the frame of reference should be the same. If the initial velocity is zero. The integration of the velocity equation results in the acceleration equation. Distance to unit time is called speed. Displacement cannot or can be equal to the path length traveled of an object.