A Child Is Riding a Merry-Go-Round, Which Has an Instantaneous

Multiple Choice

A child is riding a merry-go-round, which has an instantaneous angular speed of 1.25 rad/s and an angular acceleration of 0.745 rad/s². The child is standing 4.65 m from the center of the merry-go-round. What angle does the acceleration of the child make with the tangential direction?

A) 90.0°
B) 25.5°
C) 32.5°
D) 64.5°
E) 45.0°