Baseball Problem: Saul Teen pitches a baseball. As it leaves his hand, it moves

Chapter 10, Problem 13

(choose chapter or problem)

Baseball Problem: Saul Teen pitches a baseball. As it leaves his hand, it moves horizontally toward home plate at 130 ft/s (about 90 mi/h), so its velocity vector at time t = 0 s is The minus sign is used because the distance from the plate is decreasing. As the ball moves, it drops vertically due to the acceleration of gravity. The vertical acceleration is 32 (ft/s)/s. Assuming that there is no loss of speed due to air resistance, its acceleration vector is a. Write an equation for (t), the velocity as a function of time. b. When Saul releases the ball at time t = 0, it is at y = 8 ft above the playing field and x = 60.5 ft from the plate. Write the position vector, (t) = x(t) + y(t) . c. Sauls sister, Phyllis, stands at the plate ready to hit the ball. How long does it take the ball to reach the plate at x = 0? As it passes over the plate, will it be in Phylliss strike zone, between y = 1.5 ft and