(a)

Speedometer readings for the motor cycle is at  seconds interval each.

The time intervals are .

Determine the distance traveled using the velocities at the beginning of time intervals.

Distance travelled by the motor cycle using left endpoints :

Here the left end points are and

Width of the interval is .

.

Distance traveled using the velocities at the beginning of time intervals is ft.

(b)

Determine the distance traveled using velocities at the end of the time periods.

Distance travelled by the motor cycle using right endpoints :

Right end points are and .

.

Distance traveled by the motor cycle using velocities at the end of the time periods is ft.

(c)

Since is a monotonic.

The function neither increasing or decreasing function in the interval.

Therefore, the velocity function is neither upper nor lower estimates.  

(a) Distance travelled using the velocities at the beginning of time intervals is ft.

(b) Distance travelled by the motor cycle using velocities at the end of the time periods is ft.

(c) Results in part (a) and (b) are neither upper nor lower estimates.