4. an object moves in a circular path at a constant speed. compare the direction of the object’s velocity and acceleration vectors.

a) both vectors point in the same direction.
b) both vectors point in opposite directions.
c) the vectors are perpendicular.

Option C

The vectors are perpendicular

Explanation:

Acceleration will be directed towards the center for uniform circular motion. Consequently, velocity of the object increases hence acceleration. The direction of velocity is tangent to its circular motion, therefore, tangential velocity vector is perpendicular to centripetal acceleration vector. Therefore, comparing the direction of the object, the vectors are perpendicular to each other.

true tan speed = ang vel x radius