Question

A stone falls freely under gravity . It covers a distance of h1 and h2 in first 2 seconds and in the next 4 seconds, respectively. The ratio of h1 and h2 is
(1) 1 : 5
(2) 1 : 8
(3) 1 : 3
(4) 1 : 9

Answer 1

Answer:

2. 1:8 is the right answer please follow me

Answer 2

Distance covered by the particle in first 2 secs is h1

Distance covered by the particle in next 4 secs is h2

Since  freely falling the initial velocity is zero

That is u = 0

Acceleration due to gravity is 10

Using the third formula of equation of motion

s = ut + (1/2)gt²

At t1=2 secs

h1 = (0)(2) +((1/2)(10)(2)²)

h1 = 20m

At t2=4 secs

h2 = [ut1 + ((1/2)a(t1)²)] - [ut2 + ((1/2)a(t2)²)]

h2 =[(0)(4) + ((1/2)(10)(4)²)] -[(0)(2) + ((1/2)(10)(2)²)]

h2= 80 - 20

h2=60m

h1:h2=20:60

h1:h2=1:3

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