NTSE Stage 2 SAT 2019 Exam Question Paper

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Directions : (Questions 66 - 67)
Two identical objects A and B each of mass m start moving along the same vertical line in opposite directions at the same instant. Object A is dropped from rest from a height H above the ground and object B is projected vertically upward from the ground with speed

u=√2gh

Question : 66 of 100

Marks: +1, -0

At what height above the ground do they collide?

(1/4) H
(1/2) H
(2/3) H
(3/4) H

Validate

Solution:

For Object A,

h=1/2gt^2

.........(i)
For object B,

H-h=ut-1/2gt^2

H-h=(√2{gH})t-1/2gt^2

....(ii)
By adding (i) and (ii),

t=√{H/{2g}}

Height

(H-h)=H-1/2g(√{H/{2g}})^2

=H-1/2×g×H/{2g}

=H-H/4⇒{3H}/4

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