You throw a tennis ball North with an initial speed of 24 ft/s, at an angle of elevation 30 above horizontal, releasing the ball 4 ft above the ground. A steady wind imparts a constant acceleration of 2 ft/s2 Eastward. Acceleration due to gravity is a constant 32 ft/s2 downward. Throughout this problem let East be the positive a 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) (4 points) Express the ball's initial position r(0), its initial velocity v(0), and its (constant) acceleration a(t) as vectors. (b) (5 points) Find v(t), the velocity of the ball t seconds after you release it. (c) (5 points) Find r(t), the position of the ball t seconds after you release it. (d) (3 points) When does the ball hit the ground? (Assume the ground is level.) (e) (2 points) Where does the ball hit the ground? Edit View Insert Format Tools Table 12pt Paragraph BIUAB T2