Chapter 6.1, Problem 45ES

Two racers in adjacent lanes move with velocity functions ${\upsilon }_1\left(t\right)\text{ m/s}$ and ${\upsilon }_2\left(t\right)\text{ m/s}$ , respectively. Suppose that the racers are even at time $t=60\text{ s}$ . Interpret the value of the integral

${\displaystyle {\int }_0^{60}\left[{\upsilon }_2\left(t\right)-{\upsilon }_1\left(t\right)\right]dt}$

in this context.