A car traveling down a road has a velocity of $v ( t ) = 55 - 3 e ^ { - \frac { t } { 16 } }$ mph at time ?t hours. Find the total distance it travels from time $t = 1$ hours to time $t = 5$ hours. (Round your answer to the nearest mile.)

Question

Quizplus · Accepted Answer

The total distance traveled is the integral of the velocity function from $t = 1$ to $t = 5$. Calculating this integral gives approximately 210 miles.

A Car Traveling Down a Road Has a Velocity Of v