Question

You throw a tennis ball North with an initial speed of 24 feet per second, at an angle of elevation 30° above horizontal, releasing the ball 4 feet above the ground. A steady wind imparts a constant acceleration of 3 feet per second squared Eastward. Acceleration due to gravity is a constant 32 feet per second squared downward.

Throughout the problem, let East be the positive x direction, North the positive y direction, and up the positive z direction. Let the origin be the point on the ground directly under where the ball was released.

a) Express the ball's initial position, initial velocity and acceleration as vectors

b) Find v(t), velocity of ball t seconds after releasing

c) Find r(t), position of ball t seconds after releasing

d) When does the ball hit the ground?

e) Where does the ball hit the ground?

Answer 1