Question

a body is dropped from height(h) and takes time(t) to reach the ground.if the acceleration due to gravity is given by 'g' write an expression to find the value of h​

Answer 1

Answer:

(3h)/4 is the required answer.

Explanation:

For a freefall,

Acceleration , a=gm/s2

Initial velocity , u=0m/s

Let the distance travelled by the ball be x.

Applying second equation of motion,

s=ut+(1/2)at2

x=0+(1/2)gt2

Substituting the the value of t as (T/2),

x=(1/2)g(T2/4)

{ As per the question,

h=(1/2)gT2

Find out the value of T from the above expression and put it. }

This implies, x=h/4 .

Now, the height of the ball from the ground will be equal to (h - x).

Therefore (3h)/4 is the required answer.