 # 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 –(A)    h/9 meters from the ground(B)    7h/9 meters from the ground(C)    8h/9 meters from the ground(D)    17/h18 meters from the ground please explain

11 years ago

hey..according to ur question,it takes T time to travel a height H...therefore in T/3 sec it will travel a distance of h/9...using 2nd law of motion..i.e u=0,s=0+1/2gt^2...therefore its distance from ground will be H-H/9=8H/9....

11 years ago
the acceleration of the ball will be g. Initial velocity will be 0.
in T sec. body travels h mts.
by applying equations of motion we get
s= ut +1/2gT2
h = 1/2gT2       ------
in T/3 sec       h1 = 1/2gT2/9     -------
from  and  we get h1 =h/9 distance from point of release.
therefore distance from ground is h-h/9 =8h/9
4 years ago
initial velocity (u)=0Acceleration=acceleration due to gravity(g)Time=T So by the equation of motionH=ut+1/2gT^2 so H=1/2 gT^2.......And distance or H at T/3 seconds isH=u×T/3+ 1/2×g×T^2/9So by solving H/9=1/2gT^2......,So,distance covered at T/3 seconds is H/9And from the point of release is equation - which isH-H/9=(9H-H)/9=8H/9Hence,the answer is option (C)
3 years ago
Accroding to 2 nd kinematic equation the body will travel 1/16 th of total height in t/4 seconds
=>this position of the body from the ground is =
h-h/16=15/16h
3 years ago
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....

one year ago
Dear Student,

The acceleration of the ball will be g.
Initial velocity will be 0.
In T sec. body travels h mts by applying equations of motion we get
s=ut + (1/2)gT^2
h=(1/2)gT^2 ------
in T/3 sec
h1​ = (1/2)gT^2
= (1/2)g(T/3​)^2
= (1/2)g(T^2​)/9 -------
from
 and  we get
h1​= h/9
distance from point of release.
therefore distance from ground is h − h/9 ​= 8h/9

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