A $42-$foot$-$long, $813-$lb gin pole used to raise

sections of a communication tower is

suspended by a standard steel cable of $0\mathrm{.}110-$

in$.{?}^2$ cross section with an effective modulus of

elasticity of $12*{10}^6.$ As the gin pole

descends at a constant speed of $30f\frac{t}{m}in,$ an

accident causes the top of the cable, $66$ ft

above the gin pole, to stop suddenly. Estimate

the maximum elongation developed in the

cable. Submit your answer in inches.