Question

In a two-dimensional motion, instantaneous speed $v_0$ is a positive constant. Then
which of the following are necessarily true?

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

Answer 1

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

Given:
In a two-dimensional motion, instantaneous speed is positive, and constant.
Since velocity is constant, acceleration which is the rate of change in velocity is also constant. Hence, the acceleration will be in the plane of motion.
Final Answer: (c) The acceleration of the particle is necessarily in the plane of motion