A balloon’s volume (in ) is modeled by

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A balloon’s volume (in

\text{cm}^3

) is modeled by

V(t)=50t^{3/2}

, where

t

is measured in seconds. Identify the units of

\dfrac{dV}{dt}

and state in one sentence what this derivative represents at

t=4\text{ s}