Question

In a two dimensional motion, instantaneous speed $v_0$ 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
In a two dimensional motion, instantaneous speed $v_0$ is a positive constant

The width of the following are necessary- The acceleration of the Particle is necessarily in the plane of motion.

This motion is two dimensional and given that instantaneous speed. 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.