Derivatives · Try It 6

A runner runs along a straight east-west road. The function $f\left(t\right)$ gives how many feet eastward of her starting point she is after $t$ seconds. Interpret each of the following as it relates to the runner.

ⓐ $f\left(0\right)=0$
ⓑ $f\left(10\right)=150$
ⓒ $f^{{}^{\prime }}\left(10\right)=15$
ⓓ $f^{{}^{\prime }}\left(20\right)=-10$
ⓔ $f\left(40\right)=-100$

OpenStax, Precalculus 2e · §12.4 Derivatives · Try It 6