Question

Two bodies A (of mass 1 kg) and (of mass 3 kg) are dropped from heights of 16 m and 25 m respectively. The ratio of the time taken by them to reach the ground is
a) 5/4
b) 12/5
c) 5/12
d) 4/5​

Answer 1

From the equation of motion you know that,

$\sf \: h = \frac{1}{2} g {t}^{2}$

Where,

h = height

g = acceleration due to gravity

t = time

$\sf \: So \: \frac{ t_{1}}{t _{2} } = \sqrt{ \frac{ h_{1}}{h_{2}} } = \sqrt{\frac{16}{25}} = \frac{4}{5}$

So the ratio correct answer is option D i.e. 4/5

Answer 2

Step-by-step explanation:

Correct option is d

from equation of motion we know that when a body is dropped

h= 21

gt2

So

t 2

t 1

=

1 2

h

1

= 25/ 15

= 5/4

Hence (D) is correct answer