A ball is thrown vertically with velocity vi from a height of h = 50 m and lands on the ground after a time interval Δt. The positive y-direction is upward. Refer to the figure.   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.

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Chapter1: Units, Trigonometry. And Vectors
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A ball is thrown vertically with velocity vi from a height of h = 50 m and lands on the ground after a time interval Δt. The positive y-direction is upward. Refer to the figure.

 

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.

4 -  If the ball starts from rest, what is vi, 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. 

6 - Returning now to the general case, vi ≠ 0, enter an expression for the vertical component of the final velocity, vf, right before the ball hits the ground, in terms of vi, a, and Δt

7 - Calculate the value of vf in meters per second when the ball starts from rest

 

( I mostly need you to answer the underlined questions)

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