You are standing on top of a building 135 meters tall You th

You are standing on top of a building 135 meters tall. You throwa ball A upward with a velocity of 22.0 m/s. At the exact samemoment a friend throws ball B upward from the ground with velocityof 46.0 m/s. These two balls then collide at some later time.

               a) How long after these two balls are released will they collide?(answer: 5.63 s)

               b) Where will these two balls be when they collide? (answer: fromground=104 m)

               c) what will be the velocity of each ball just as theycollide?(answer: Ball a: -33.1 m/s, Ball b: -9.1m/s)

               d) What will be the relative velocity between these balls at themoment they collide? (answer: 24m/s)

WHAT ARE THE STEPS TO DOING THESE PROBLEMS? you shouldget the answers stated after each question.

Solution

height of building H = 135 m
After time t both balls are hit And height of the balls whenthey hitted be h
Ball A :
-------
Initial velocity u = 22 m / s
distance S = H - h = 135 - h
from the relation S = ut - ( 1/ 2) g t ^ 2
                 -135+h = 22 t - (1/ 2) g t ^ 2
                 -135+h= 22t - 4.9 t^ 2    -----( 1)
ball B :
-------
Initial velocity u \' = 46 m / s
distance S \' = h
fom the relation S \' = u\'t -( 1/ 2) gt ^ 2
                      h= 46 t - 4.9 t^ 2  
                      h=46t -22t -135+h      since from eq (1)
                        = 24 t - 135 + h
                      0= 24t - 135
                       t = 5.625 s
plug this in eq ( 1 ) we get -135+h = 22(5.625)-4.9(5.625)^2
                                                  h= 135 +(22*5.625) -4.9(5.625)^2
                                                    = 103.71 m

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