Question

In a two dimensional motion, instantaneous speed $V_o$ is a positive constant. Then which of the following are necessarily true?

• A. The acceleration of the particle is zero
• B. The acceleration of the particle is bounded
• C. The acceleration of the particle is necessarily in the plane of motion
• D. The particle must be undergoing a uniform circular motion

Answer 1

The correct option is C The acceleration of the particle is necessarily in the plane of motion

Option C is correct.
This motion is two dimensional and given that instantaneous speed $v_0$ is positive constant. Acceleration is defined as the rate of change of velocity (instantaneous speed), hence it will also be in the plane of motion.