Mathematics

Problem

A sled moves along a straight track so that its position (in meters) at time

t

seconds is given by

s(t)=t^{3/2}

. Which of the following best describes the quantity

s'(4)

? a) The sled’s instantaneous acceleration at

t=4\text{ s}

b) The sled’s instantaneous velocity at

t=4\text{ s}

c) The sled’s average velocity from

t=0\text{ s}

t=4\text{ s}

d) The total distance the sled has traveled by

t=4\text{ s}