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. 4 ) 
Question 1
Calculate the vertical distance |y| that the ball drops just before it hits the wall using the indicated  time of flight on screen and the value of g = 9.80 m/s2. Assume Vxi= 6 m/s.  Compare your computation  with the direct measurement of the y displacement. Measure that y displacement  for 4 launches and compute the average as you did in problem 1.  

first y second y difference
     
     
     
     
    average 
difference
     

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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 using the time of flight and the value of g = 9.80 m/s2. Compare your computation  with the direct measurement of the y displacement. (Measure that y displacement  for 4 launches and compute the average as you did in problem 1.) 

first y second y difference
     
     
     
     
    average 
difference
     

SHOW WORK













 
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 using the time of flight and the value of g = 9.80 m/s2. Compare your computation  with the direct measurement of the y displacement. (Measure that y displacement  for 4 launches and compute the average as you did in 
problem 1.)  

 

first y second y difference
     
     
     
     
    average 
difference
     

SHOW WORK

 

 

 

 

 

 

 

 

 

 



Question 6
Compute the minimum horizontal velocity Vxi needed to land on the top of the second table. (Hint: First measure the vertical drop |y| to land on the top, then compute  the time, then compute the horizontal velocity. Is your value greater than 8 m/s ? Explain.)

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