A $7\mathrm{.}96-$ton elevator is supported by a standard

steel cable of $2\mathrm{.}4-$in$.{?}^2$ cross section and an

effective modulus of elasticity of $12*{10}^6.$

As the elevator is descending at a constant $437$

$f\frac{t}{m}in,$ an accident causes the top of the cable,

$53\mathrm{.}96$ ft above the elevator, to stop suddenly.

Estimate the maximum elongation $($deflection$)$

developed in the cable $($see the figure below$).$

Submit your answer in inches.

Steel cable

$-E=12{10}^6$