a stone dropped from the roof of a house reaches the ground in 1.5 sec...
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.
a stone dropped from the roof of a house reaches the ground in 1.5 sec...
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
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.