Your velocity is given by v(t)=2t2+5 in m/sec, with t in seconds. Estimate the distance, s, traveled between t=0 and t=8. Use the average of the left and right sums with 4 subdivisions.

Answer 1

The first step is to make a table. there are 5 even subdivisions between t=0 and t=8.

0 2 4 6 8
5 13 37 77 133

Left Hand: (5*2)+(13*2)+(37*2)+(77*2) = 264
Right Hand: (13*2)+(37*2)+(77*2)+(133*2) = 520

Add the left and right-hand sums together then divide by 2 to find the average.

Answer: s=392