Question

A body fall from height H.if t1 is time taken for covering first half height and
t2 be time taken for second half.Which of these relation is true for t1 and t2
a. t1 > t2
b. t1 < t2
c. t1=t2
d. Depends on the mass of the body​

Answer 1

Answer:

a. t1 > t2

Explanation:

Let an object is dropped from a height H .

using the formula ,

h = ut + ½gt²

time to fall through first half of the distance is h/2

h/2 = ½gt²

t1= √(hg)

time to fall through the entire height is h

= ½gt²

t = √(2h/g) = √2 t1

so time to fall the next half height is

t2 = t − t1

= 2√t1 − t1

= (2 −1)t1

= 0.41t1

so,

t2/t1 = 0.41

so t1 is greater than t2.

so,

a.) t1 > t2