The time taken to reach the ocean from the cliff is 2.24 seconds
The speed of the stone at the point of contact is 21.984 m/s
The stone is thrown horizontally with a speed of 19.5 m/s from the cliff
The height of the cliff = 24.6m
- The time taken by the stone to reach the ocean can be calculated using the formula
y - v₁t = -1/2 gt²
where y is the height of the cliff
v₁ is the speed of stone vertically
g is the acceleration due to gravity
t is the time taken
But the speed of the stone vertically will be zero, v₁ = 0
Therefore, the equation becomes
y = -1/2gt²
Let us re-write this equation in order to find t
t = √(-2y/g)
Now, let's substitute the known values in the above equation, we get
t = √(-2x -24.6 / 9.8)
=√(49.2/9.8)
= √5.02
= 2.24 seconds
Therefore, the time taken to reach the beach is 2.24 seconds
- The speed of the stone at the point of impact can be found using the formula
a = v/t
where a is the acceleration
v is the velocity
t is the time taken
Here, the acceleration is the acceleration due to gravity
Thus, the velocity of the stone is
v = at
= 9.8 x 2.24
= 21.984 m/s
Therefore the velocity of the stone is 21.984 m/s
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