Ball A is dropped from a building and at the same instant that a another ball B is thrown vertically upward from the ground when both balls collide they are moving in opposite directions and speed of A is twice the speed of B at what function of height of the building the collision occur
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Let the building be of height H and let the balls collide at h and time t
Distance travelled by A
H−h=12gt2
So
t2=2g(H−h)
And distance covered by B is
h=ut−12gt2
Subsisting the value of t
h=u2(H−h)g−−−−−−−−√−(H−h)
Squaring after doing appropriate simplification
H2=2u2(H−h)g
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