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Question

A particle is projected vertically upwards from a point O on the ground. It takes a time t1 to reach a point A at height h above the ground, it continues to move and takes a time t2 to reach the ground, the maximum height attained by the particle will be?

A
g2(t1+t2)
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B
g2(t1+t2)2
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C
g4(t1+t2)2
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D
g8(t1+t2)2
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Solution

The correct option is B g2(t1+t2)

Time taken for the particle to reach highest point ist1+t22

(v=ugt)

initial velocity=u=g=(t1+t22)

h=ut+12at2

h=ut112gt21

=g(t1+t22)t112gt21

h=12g(t1+t2)



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