A ball is thrown vertically with velocity vi from a height of h = 38 m and lands on the ground after a time interval Δt. The positive y-direction is upward. 1. What is the value of the vertical component of acceleration of the free fall motion in meters per second squared? 2.  Enter an expression for the vertical component of the total displacement of the motion, Δy, in terms of initial height h. 3.Enter an expression for Δy in terms of Δt, a, and the vertical component of the initial velocity of the motion, vi.

A ball is thrown vertically with velocity v_i from a height of h = 38 m and lands on the ground after a time interval Δt. The positive y-direction is upward.

1. What is the value of the vertical component of acceleration of the free fall motion in meters per second squared?

2.  Enter an expression for the vertical component of the total displacement of the motion, Δy, in terms of initial height h.

3.Enter an expression for Δy in terms of Δt, a, and the vertical component of the initial velocity of the motion, v_i.

4. If the ball starts from rest, what is v_i, in meters per second?

5. Enter an expression for Δt in terms of a and Δy, in the case when the ball starts from rest.

6. Calculate the fall time Δt, in seconds, when the ball starts from rest.

7. Returning now to the general case, v_i ≠ 0, enter an expression for the vertical component of the final velocity, v_f, right before the ball hits the ground, in terms of v_i, a, and Δt.

8. Calculate the value of v_f in meters per second when the ball starts from rest.