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Ball A is thrown upward at a speed of 2 ft/s at the same time that ball B is launched at an angle of 30 degrees. If ball A and ball B collide at the apex of ball B’s path, 25 ft above point A, determine: A) the initial speed of ball B B) how far ball B will travel before landing at the same elevation from which it was launched C) the relative velocity of ball B with respect to ball A
B
$30⁰
Ө
2 ft/s
A
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Transcribed Image Text:B $30⁰ Ө 2 ft/s A
Expert Solution
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Solution:

Let u be the initial speed of the ball. Then its x and y velocity willl be,

ux=ucos30°=0.86uuy=usin30°=0.5u

At maximum height, the y velocity becomes zero.

vy2=uy2-2gh0=uy2-2ghh=0.25u22×32=0.0039u2 ft

 

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