### Home > APCALC > Chapter 6 > Lesson 6.1.4 > Problem6-46

6-46.

During a race, Victor travels with a velocity (in feet per second) of $v(t) = 2^t$ where $t$ is measured in seconds. He wins the race in $t = 6.136$ seconds. Approximately how long was the race? It may help to graph $y = v(t)$ first.

Notice that velocity is always increasing. How can you use a velocity graph to find distance information?