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**A body is thrown vertically upward with velocity u, the greatest height h to which it will rise is,**

**(a) u/g**

**(b) u2/2g**

**(c) u2/g**

**(d) u/2g**

Answer:

Answer is (b) u2/2g

**Explanation:**

V2= u2+2 as

here v = 0

a = -g

s = H

0 = u² -2gH

H = u²/2g

"welcome to the very another video
solution
so today's question is a body is thrown
vertically
upward with the velocity u so
here let us consider this ball as a body
which is at point a and is having the
initial velocity
as u the greatest height
h to which it will rise we are having
the four
options over here and the question
is asking that it has traveled the
greatest height
as h and the ball is reaching the point
b
so what is going to be the value for h
so understand one thing when the body is
vertically moving
upward and is reaching the point b
after reaching the point b it will start
going downwards so
when it reaches a point b it will stop
for
some time and soon it will stop for some
time here the velocity
will become zero so initial velocity
is u and the final velocity is 0
so here comes the another equation for
the motion
which is v square equals to
u square plus 2 a
s now we know that the final velocity
that is v
square is equals to zero
so we will keep the value as
zero now let's consider the another
velocity which is u
square and the initial velocity
is u keeping the value u square
as it is we will consider 2 now here
a is the acceleration due to gravity and
we know
that the body is going upward that means
it is working against the gravity so
in order to represent this condition we
will use the value of a
as minus g which is showing
that our body is working against
the gravity so putting the value
of a as minus g
and here s is the height covered
here you can see the total height
covered by a body
is h so we will put the value
as h now solving the equation
we get u square minus 2
g h and the whole term minus 2
g h will be shifting towards the left
hand side
and we will get the value as
2 g h equals to u square
and h is e equal to u
square by 2 g and hence
the correct option is b so
we can ultimately say that the greatest
height that is h is equals to
u square by 2g and this
is it for this time in order to remain
updated
keep visiting to lido bye bye"

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