Question

A particle is moving in a circle of radius 2 meters according to the relation (please refer to picture), where Vo is measured in radians and in seconds. The speed of the particle at = 4 seconds is
(A) 13 m/s
(B) 16 m/s
(C) 26 m/s
(D) 52 m/s)
(E) 338 m/s

Answer 1

Answer:

ω = dΘ / dt

dΘ / dt = d (3 t^2 + 2 t) / dt = 6 t + 2

At 4 sec       ω = 6 * 4 + 2 = 26 / sec

V = ω * R = 26 / sec * 2 m = 52 m/s