A soccer ball $(m=0\mathrm{.}43kg)$ is punted by a goalie, then sails across the field and bounces off the ground. Before the bounce, the ball is travelling at a speed of $9\mathrm{.}4\frac{m}{s}$ and hits the ground at an angle of $37$ and rebounds at the same angle and speed. This angle is measured from the ground up to the velocity vector. If the collision takes $0\mathrm{.}054$ seconds, what is the average force exerted by the ground on the ball during the collision?

a$.2\mathrm{.}43$ N

b$.90\mathrm{.}1$ N

c$.45\mathrm{.}1$ N

d$.210$ N

e$.120$ N