A ball is dropped from the top of a building. It aquires a velocity of 30 m s–1 on reaching the ground. Calculate the height of the building
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Correct question:-
A ball is dropped from the top of a building.It acquires a velocity of 30m/s on reaching the ground.Calculate the height of the building.
Given:-
→Final velocity of the ball=30m/s
To find:-
→Height of the building.
Solution:-
In this case:-
•Acceleration due to gravity = +9.8m/s²
•Initial velocity of the ball = 0
Here,we shall use the 3rd equation of motion:-
=>v²-u²=2gh
=>(30)²-0 = 2×9.8×h
=>900 = 19.6h
=>h = 900/19.6
=>h = 45.91m
Thus,height of the building is 45.91m.
Note:-If we take g= 10m/s²,then the height of the building will come out as 45m.
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Answer:
v = 30 ms^-2
u = 0
g = 10 ms^-2
v^2 - u^2 = 2gh
(30)^2 - (0)^2 = 2 × 10 × h
900=20h
900/ 20 = h
h = 45
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