Elite quarterbacks can throw a football \(70 \mathrm{~m}\). To achieve such a throw, a quarterback accelerates the \(0.42 \mathrm{~kg}\) ball over a distance of approximately \(1.0 \mathrm{~m}\).

a. If you assume that the quarterback throws the ball at the optimal angle, at what speed does he throw the ball?

b. What force must he apply to the ball to throw it at this speed?