A 140 g, 90.0 mph fastball comes across the plate very nearly horizontally and is batted at 90.0 mph at a 30.0 O angle (above the horizontal) toward center field. (a) Determine the impulse (in N.s) acting on the ball. (b) If the impact time is 0.00080 s, determine the average force on the ball. (c) The force on the ball as a function of time can be modeled as F(t) = Fmax sin^2(4000t). Using this function, assuming it will give the same impulse as the average force, find Fmax. (d) Find the average acceleration of the ball. (e) For some extra 2-D motion practice, does this ball clear the 7 foot tall outfield fence, 410 ft away?

Question

A 140 g, 90.0 mph fastball comes across the plate very nearly horizontally and is batted at 90.0 mph at a 30.0 O angle (above the horizontal) toward center field. (a) Determine the impulse (in N.s) acting on the ball. (b) If the impact time is 0.00080 s, determine the average force on the ball.  (c) The force on the ball as a function of time can be modeled as F(t) = Fmax sin^2(4000t). Using this function, assuming it will give the same impulse as the average force, find Fmax. (d) Find the average acceleration of the ball.  (e) For some extra 2-D motion practice, does this ball clear the 7 foot tall outfield fence, 410 ft away?