Riemann Sums: Videos & Practice Problems

A skydiver jumps from a plane, and her velocity in $\text{m}/\text{s}$ is recorded at various times during her descent. Between $t=20\text{ s}$ and $t=50\text{ s}$, she is in free fall. Divide the interval $[20,50]$ into $n=5$ subintervals with grid points $t_0=20$, $t_1=26$, $t_2=32$, $t_3=38$, $t_4=44$, and $t_5=50$. The recorded velocities are: $v\left(20\right)=120$, $v\left(26\right)=135$, $v\left(32\right)=140$, $v\left(38\right)=130$, $v\left(44\right)=125$, and $v\left(50\right)=115$. Use the left Riemann sum to estimate the distance she fell during this interval.