A particle is moving in a circle of radius 2 meters according to the relation

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

3. A particle is moving in a circle of radius 2 meters according to the relation

\theta=3 t^{2}+2 t

, where

\theta

is measured in radians and

t

in seconds. The speed of the particle at

t=4

seconds is (A)

13 \mathrm{~m} / \mathrm{s}

(B)

16 \mathrm{~m} / \mathrm{s}

(C)

26 \mathrm{~m} / \mathrm{s}

(D)

52 \mathrm{~m} / \mathrm{s}

(E)

338 \mathrm{~m} / \mathrm{s}