The speed of a horse increased steadily during the 6 to 9 se

The speed of a horse increased steadily during the 6 to 9 second time frame of a race according to the data below Find lower and upper estimates for the total distance covered by the horse during the 3 second period Round your result to 2 decimal places.

Solution

To find the lower estimates we consider the length of the intervals as follows

distance= speed * time

So the lower estimate is given by E= 0.5*26+0.5*30+0.5*33+0.5*37+0.5*40+0.5*42=0.5*208=104 feet.

t(sec)	6	6.5	7	7.5	8	8.5	9
v	26	30	33	37	40	42	46