For a particle

PHYSICS · Single correct · AP · Physics C: Mechanics · Kinematics · Kinematics

Problem

For a particle, velocity varies with time as

v(t)=5\sin(2t)

, where

v

is in

\text{m s}^{-1}

and

t

\text{s}

. Determine the instantaneous acceleration at

t=\dfrac{\pi}{4}\,\text{s}

. (a)

10\,\text{m s}^{-2}

(b)

0\,\text{m s}^{-2}

(c)

5\,\text{m s}^{-2}

(d)

7.07\,\text{m s}^{-2}