A car's speed during the interval (t=0.5 mathrm{~s}) to (t=20 mathrm{~s}) is given by (t=c sqrt{t}), where

Question:

A car's speed during the interval $t=0.5 \mathrm{~s}$ to $t=20 \mathrm{~s}$ is given by $t=c \sqrt{t}$, where $c$ is a constant. Over the interval $t=10 \mathrm{~s}$ to $t=20 \mathrm{~s}$, is the average speed greater than, equal to, or less than the instantaneous speed (a) at $t=15 \mathrm{~s}$ and $(b)$ at $t=20 \mathrm{~s}$ ?

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