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 Chs. 3 and  10 ) 
Question 1

(i) Calculate the vertical distance |y| that the ball drops just before it hits the wall. Assume Vxi= 6 m/s.  (Hint: Use the given time of flight to compute the magnitude of the change in y, referring to Chapter 10, Projectile motion--see figures 10.4, 10.6, 10.15, 10.16. Also see the figure 10.8 discussion ,  page 188,  for any launch angle--- you will see how to find the magnitude of the change in y. ) 
(ii) Also, measure the change in y and compare with your calculated result.

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

(i) Calculate  the vertical drop distance |y| when  Vxi = 7 m/s.
(ii) Also, measure the change in y and compare with your calculated result.

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
 

(i) Calculate the vertical drop distance |y| when  Vxi = 8 m/s.
ii) Also, measure the change in y and compare with your calculated result.


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. 10