A ball is thrown up with a certain velocity so that it reaches a height h . Find the ratio of the two…

A ball is thrown up with a certain velocity so that it reaches a height h. Find the ratio of the two different times of the ball reaching h3 in both the directions.
  1. 2-12+1
  2. 13
  3. 3-23+2
  4. 3-13+1

Solution

u=2gh
Now,

S=h3, a=-g

S=ut+12at2
h3=2ght+12-gt2
t2g2-2ght+h3=0

From quadratic equation

t1, t2=2gh±2gh-4 g2h3 g

t1t2=2gh-4gh32gh+4gh3

=3-23+2

Asked in: JEE Main 2021 (27 Jul Shift 1)

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