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Q.

Velocity of the body on reaching the ground is same in magnitude in the following cases
a) a body projected vertically from the top of tower of height 'h' with velocity 'u'
b) a body thrown down wards with velocity 'u' from the top of tower of height 'h'
c) a body projected horizontally with a velocity 'u' from the top of tower height 'h'
d) a body dropped from the top tower of height 'h'

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a

a, b and c are correct

b

only d correct

c

a, d, c and d are correct

d

a and d are correct

answer is B.

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Detailed Solution

For the body projected vertically upwards we can write ,

V2 = (-u)2 + 2gh = u2 +2gh

For the body projected vertically downwards we can write ,

V2 = u2 +2gh

For the body projected horizontally with velocity 'u' , horizontal component of velocity just before it strikes the groud is Vh = u

And vertical component of velocity just before it strikes the ground is

Vv2 = 0 + 2gh

.: If 'v' be the speed of the projectile just before it strikes the ground is given by ,

V2 = Vh2 +Vv2 = u2 + 2gh

For the body dropped from the top of a tower of height h , its speed v just before it strikes the ground is given by

V2 = 0 +2gh

So ,option (2) is correct.

 

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