A plane takeoff at
PM.
The plane travels a distance of
miles in
hours.
The average velocity is
.
The Rolles theorem can be applied because the function involved in the flight is continuous on the interval
and differentiable on the interval
.
So, there exist a number
in the interval
such that
.
and
is maximum value of
.
The plane should cross
miles per hour while take off and landing off.
The plane follows the concave down parabola form so the plane must cross the two times when its speed is
miles per hour.