code class$=$"asciimath"$>$Initially you are driving at $55\mathrm{.}0($miles$)/($hour$)$ on a highway. You catch up to a slower car and accelerate uniformly up to $78\mathrm{.}0($miles$)/($hour$)$ in $3\mathrm{.}10$ seconds to pass them. How far did you travel down the highway during this acceleration?