A race car starts from rest on a circular track of radius 507 m. The car's speed increases at the constant rate of 0.790 m/s2. At the point where the magnitudes of the centripetal and tangential accelerations are equal, find the following.

Question

A race car starts from rest on a circular track of radius 507 m. The car's speed increases at the constant rate of 0.790 m/s2. At the point where the magnitudes of the centripetal and tangential accelerations are equal, find the following.
(a) the speed of the race car
____ m/s

(b) the distance traveled
____ m

( c) the elapsed time
____ s