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the acceleration of the ball will be g. Initial velocity will be 0 m/s in T sec. body travels h m.
By applying equations of motion we get
s= ut +1/2gT2
h = 1/2gT2 ------[1]
in T/4 sec
so, height will be
h1 = (1/2).g.(T 2/16) -------[2]
from [1] and [2] we get h1 =h/16 distance from point of release.
therefore distance from ground is = h - h/16
thus,
height = (15/16)h
_____________________
related different question it's also important
A ball is released from the top of a tower of height h meters. It takes T second to reach the ground. What is the position f the ball in T/3 second –
As we know that ball is dropped from height H A and takes T seconds to fall on the ground, so it's initial velocity (u) will be 0.
So from 2 equation of motion we get,
H=1/2gt2, as u=0........ (1)
Now let's consider the position of ballfrom air in T/3 seconds be H`. So again using 2 equation of motion, we get
H`=1/2gT2/9, as u=0.......(2)
Now from (1) and (2), we get
H`=H/9metres from the air..
So the location of ball from the ground will be=
H-H/9=9H-H/9=8H/9.
HENCE AFTER T/3 SECONDS POSITION OF BALL WILL BE 8H/9 METRES FROM THE GROUND....
By applying equations of motion we get
s= ut +1/2gT2
h = 1/2gT2 ------[1]
in T/4 sec
so, height will be
h1 = (1/2).g.(T 2/16) -------[2]
from [1] and [2] we get h1 =h/16 distance from point of release.
therefore distance from ground is = h - h/16
thus,
height = (15/16)h
_____________________
related different question it's also important
A ball is released from the top of a tower of height h meters. It takes T second to reach the ground. What is the position f the ball in T/3 second –
As we know that ball is dropped from height H A and takes T seconds to fall on the ground, so it's initial velocity (u) will be 0.
So from 2 equation of motion we get,
H=1/2gt2, as u=0........ (1)
Now let's consider the position of ballfrom air in T/3 seconds be H`. So again using 2 equation of motion, we get
H`=1/2gT2/9, as u=0.......(2)
Now from (1) and (2), we get
H`=H/9metres from the air..
So the location of ball from the ground will be=
H-H/9=9H-H/9=8H/9.
HENCE AFTER T/3 SECONDS POSITION OF BALL WILL BE 8H/9 METRES FROM THE GROUND....
By applying equations of motion we get
s= ut +1/2gT2
h = 1/2gT2 ------[1]
in T/4 sec
so, height will be
h1 = (1/2).g.(T 2/16) -------[2]
from [1] and [2] we get h1 =h/16 distance from point of release.
therefore distance from ground is = h - h/16
thus,
height = (15/16)h
Answered by
3
Similar questions
By applying equations of motion we get
s= ut +1/2gT2
h = 1/2gT2 ------[1]
in T/4 sec
so, height will be
h1 = (1/2).g.(T 2/16) -------[2]
from [1] and [2] we get h1 =h/16 distance from point of release.
therefore distance from ground is = h - h/16
thus,
height = (15/16)h