A golf ball of mass 0.050 kg is at rest on the tee and has a velocity of 102 m/s immediately after being struck by a club. Model the impact force, F(t), on the ball as a linearly increasing function, that reaches a maximum force, then linearly decreases until it is zero. The magnitude of the slope for the time the force is increasing is twice that of the time it's decreasing. The club and ball are in contact for 0.81 ms.
(a) What was the impulse delivered to the ball?