a stone dropped from the roof of a house reaches the ground in 1.5 seconds calculate the distance of roof from the ground and the velocity of the stone with which it strikes the ground Related: NCERT Solutions - Motion?

Question

a stone dropped from the roof of a house reaches the ground in 1.5 seconds calculate the distance of roof from the ground and the velocity of the stone with which it strikes the ground Related:  NCERT Solutions - Motion?

Answer

Calculating the Distance of Roof from the Ground

To calculate the distance of the roof from the ground, we can use the formula:

distance = 1/2 × acceleration × time^2

Here, the acceleration due to gravity is 9.8 m/s^2, and the time taken for the stone to reach the ground is 1.5 seconds.

Plugging in these values, we get:

distance = 1/2 × 9.8 × (1.5)^2
distance = 22.05 meters

Therefore, the distance of the roof from the ground is 22.05 meters.

Calculating the Velocity of the Stone

To calculate the velocity of the stone with which it strikes the ground, we can use the formula:

velocity = acceleration × time

Here, the acceleration due to gravity is 9.8 m/s^2, and the time taken for the stone to reach the ground is 1.5 seconds.

Plugging in these values, we get:

velocity = 9.8 × 1.5
velocity = 14.7 m/s

Therefore, the velocity of the stone with which it strikes the ground is 14.7 m/s.

Answer

Here
initial velocity=0m/s
final velocity =?

time=1.5second

now ,
acceleration=10m/s^2 (gravitational force)
so anything goes down it increase its velocity which means it have acceleration.
a=v-u/t
10m/s^2= v-0/1.5s
10×1.5=v
v=15m/s
and distance will be 15m +1/2×15m
=15m+7.5m
=22.5m distance

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