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Question

Two spherical balls having equal masses with radius of 5 cm each are thrown upwards along the same vertical direction at an interval of 3 s with the same initial velocity of 35 m/s, then these balls will collide at a height of ____ m.
(Take g=10 m/s2)


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Solution

Let h be the height at which both balls collide.

Therefore, two balls will collide when :
h1=h2=h

Let the two balls collide t sec after the first ball is thrown.

Using, s=ut+12at2,

35t12×10t2=35(t3)12×10(t3)2

5t2=1055t245+30t

30t=150

t=5 s

The height at which balls collide is,

h=35t12×10t2
h=35×512×10×52
h=50 m

Correct answer :50

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