Question

Which pair of equations can describe the path of a particle moving with an acceleration that is perpendicular to the velocity of the particle at t=0 and remains constant in magnitude and direction?

Answer 1

Answer:

The question clearly describes the circular motion.

The circular motion equation is

$a_{radial} = \frac{v^2}{r}$

The path of the particle is circular.

Explanation:

In circular motion, the radial acceleration is always towards the center and constant in magnitude. Furthermore, the velocity of the circular motion is always tangential to the circle, that is it is always perpendicular to the radius, hence the acceleration.