The time it takes for the stone to fall in the air is 7 seconds, and it takes 5 seconds for the stone to fall in the water in the seabed.
The average speed of the stone in air is shown here as 16 m/s.
The average speed of the stone in water is 3 meters per second.
The total distance from the top of the cliff to the seabed is 127 meters.
Total fall time = 12 seconds
Therefore
Let t1 represent the time spent by the stone in the air and
t2 = time spent by the stone in water
Now using the equations of motion we get :
Therefore, t₁ + t₂ = 12 s........(1)
16·t₁ + 3·t₂ = 127............(2)
From (1) t₁ = 12 - t₂
16×(12 - t₂) + 3×t₂ = 127
13t2 = 65 is the result.
and t2 equals 5 seconds
t1 = 12 - t2 = 12 - 5 = 7 sec
The time it takes for the stone to fall in the air is t1 = 7 seconds.
The time it takes for the stone to fall into the water is t2 = 5 seconds.
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