Problem 2

Description
A red ball slides horizontally off a table as shown in the animation (position is in meters and time is in seconds). Ignore air friction. The ball hits the other table after moving a distance x. (Remember to click and drag to find x and y.) The initial horizontal velocity has magnitude 6 m/s, but can be changed to 7 m/s or 8 m/s.

m/s (Change initial x-component of velocity)

(Hint: Review Ch. 3 ) 
Question 1
Calculate the vertical distance |y| that the ball drops just before it hits the wall. Assume Vxi= 6 m/s. 


Question 2
Suppose Vxi is changed to 7 m/s . How does the vertical distance on impact change from the answer  in Question 1--increase, decrease, or remain constant? (Hint: Run the simulation for 7 m/s.)
Question 3
Calculate  the vertical drop distance |y| when  Vxi = 7 m/s.
Question 4
Suppose Vxi is changed to 8 m/s . How does the vertical distance on impact change from the answer  in Question 3-- increase, decrease, or remain constant? (Hint: Run the simulation for 8 m/s.)
Question 5
Calculate the vertical drop distance |y| when  Vxi = 8 m/s.
Question 6
Compute the minimum horizontal velocity Vxi needed to land on the top of the second table. (Hint: First click and drag to find the vertical drop |y| to land on the top, then compute  the time, then compute the horizontal velocity. Another hint is that the value of Vxi is greater than  8 m/s !)
Reference
See  Ch. 3