The position of a particle is metres

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The position of a particle is

s(t)=10\sin(\pi t)+5t^{2}

metres, where

t

is in seconds. Find its instantaneous velocity at

t=\dfrac{1}{2}

second. (a) 22.5 m/s (b) 36.4 m/s (c) 5 m/s (d) 15 m/s