Question

The velocity of a runner is given below. Using trapezoids, estimate the total distance the runner travels from t = 0 to t = 6 seconds.
40 m
26 m
24m
17 m

Answer 1

The answer is 40 m.

To get the total distance the runner travels in 6 seconds, you must compute the average velocity first since the velocity of the runner changes from time to time. 

Total of velocity divide by 4.

AV = 2 + 5 + 8 + 12 = 27
AV = 27 / 4
AV = 6.75

To get the distance, the formula is Distance = Average Velocity x Time:

D = 6.75 m/s x 6 sec
D = 40 m