Chapter 9.4, Problem 27E

Distance Traveled Upon takeoff, the velocity readings of a rocket noted every second for $10$ seconds were $0,30,75,115,155,200,250,300,360,420,$ and $490$ feet per second. Use the trapezoidal rule to estimate the disatnce the rocket traveled during the first $10$ seconds. [Hints: If $s\left(t\right)$ is the distance traveled by time $t$ and $v\left(t\right)$ is the velocity at time $t$, then $s\left(10\right)={\displaystyle {\int }_0^{10}v\left(t\right)dt}$.]