Exercise 13

Several applied functions are given below. In each case, find the indicated quantity (including unit) and interpret the value in the context of the application.

The velocity, $v$, of a roller coaster (in ft/s) is given by $$\fe{v}{t}=-100\fe{\sin}{\frac{\pi t}{15}}$$ where $t$ is the amount of time (s) that has passed since the coaster topped the first hill. Find and interpret $\frac{\fe{v}{7.5}-\fe{v}{0}}{7.5-0}$.