Space crash: On September $8,2004,$ the Genesis spacecraft crashed in the Utah Desert

because its parachute did not open. The $210$ kg capsule hit the ground at $311$ km$\{$h$,$

leaving a crater $81\mathrm{.}0$ cm deep.

$($a$)$ What was the spacecraft$$s acceleration $($in m$\{$s and in g$$s$)$ during the crash? Assume

constant acceleration.

$($b$)$ What force did the ground exert on the capsule during the crash? Express the force

in newtons and as a multiple of the capsule$$s weight.

$($c$)$ How long did this force last?