A model rocket’s height above the ground is metres

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

Problem

A model rocket’s height above the ground is

s(t)=50t^{2}

metres, where

t

is the elapsed time in minutes. Determine its instantaneous acceleration at

t=2

minutes, giving the answer in

\mathrm{m/s^{2}}

. (Use 1 minute = 60 seconds.) (a)

1.67\,\mathrm{m/s^{2}}

(b)

0.0556\,\mathrm{m/s^{2}}

(c)

0.028\,\mathrm{m/s^{2}}

(d)

0.00028\,\mathrm{m/s^{2}}