24. A falling stone takes 0.2 seconds to fall past a window which is 1m high. From how far above the
top of the window was the stone dropped is am here x =
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Answer:0.78m
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Let,
u=initial velocity of the stone
h=height above the window
s=height of the window
v0=initial velocity of the stone when it passes by the window
t=time taken to pass by the window
g=acceleration due to gravity (10m/s2)
The stone will begin with initial velocity 0 m/s.
Using 3rd equation of motion,
v02 = 2gh+u2
v0= \sqrt{2gh}
Now, using second equation of motion for motion of the stone when it passes by the window.
s=v0t+ ½ gt2
\sqrt{2gh} t= s – ½ gt2
(Squaring both sides)
2ght2 = (s – ½ gt2)2
Substituting the given values,
2x10xh x 0.04 = (1 – ½ x10x 0.04 )2
0.8h = (0.64)2
So, h = 0.8 m
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