(a)time since brakes applied (sec) 0 2 4 6 8 10

speed(ft/sec) 100 80 50 25 10 0

since the speed is dcreasing so it is a decreasing function.then lower estimation of the distance is

=[ 80+50+25+10+0](2) =330 feet

and upper estimation of the distance is

=[100+80+50+25+10](2) = 530 feet

we can find the best estimation of the distance by taking theaverage of these estimations

that is the best estimation of the distance is = (330+530)/2 =430 feet

(b) since 430 > 400 then the skunk was hit by the car

speed(ft/sec) 100 80 50 25 10 0

since the speed is dcreasing so it is a decreasing function.then lower estimation of the distance is

=[ 80+50+25+10+0](2) =330 feet

and upper estimation of the distance is

=[100+80+50+25+10](2) = 530 feet

we can find the best estimation of the distance by taking theaverage of these estimations

that is the best estimation of the distance is = (330+530)/2 =430 feet

(b) since 430 > 400 then the skunk was hit by the car