Problem $3$

Problem $15\mathrm{.}11$ As the $28,000-$lb airplane takes off

from rest at position $s=0,$ the total horizontal force

acting on it given as a function of $s$ in feet is $F=T{e}^{-cs},$

where $T=26,000lb$ and $c=0\mathrm{.}0001f{t}^{-1}.$ It requires

$1000$ ft of runway to take off. Use the principle of work

and energy to determine the magnitude of the airplane's

velocity at takeoff.