A stone is dropped from the top of a building which is 180 meters high. If the stone hits the ground after 6 seconds, what will its final velocity be?
Answers
Answer:
Let g = -9.80665m/s^2, t = 6, h = The height to ground distance of the building.
h = - g * t^2/2 = -9.80665 * 18 = -176.519698m.
The stone therefore falls 176.519698m to ground.
Let g = -32.174ft./s^2, t = 6, h = The height to ground distance of the building.
h = - g * t^2/2 = -32.174 * 18 = -579.132000ft.
Explanation:
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Answer :
Height of building = 180m
Time taken by stone to reach at ground = 6s
We have to find final velocity at which stone touch to the ground
★ For a body balling freely under the action of gravity, g is taken positive.
Since constant acceleration acts on stone throughout the motion, we can apply equation of kinematics to solve this problem.
First equation of motion is given by
- v = u + gt
v denotes final velocity
u denotes initial velocity
g denotes gravitational acceleration
t denotes time
⭆ v = u + gt
[For free falling motion, u = 0]
⭆ v = 0 + (10)(6)
⭆ v = 60m/s