How long does the stone take to fall from the height of the cliff to the ground below?wit 3seconds after the stone has reached the ground
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To determine how long the stone takes to fall from the height of the cliff to the ground below, we need to use the equation for free fall motion.
The equation is:
h = (1/2)gt^2
Where:
h is the height of the cliff,
g is the acceleration due to gravity (which is approximately 9.8 m/s^2 on Earth),
t is the time taken to fall.
In this case, we need to rearrange the equation to solve for t:
t = √(2h / g)
Given that the stone has reached the ground and the time is 3 seconds, we can substitute the values into the equation:
3 = √(2h / 9.8)
To solve for h, we need to isolate it by squaring both sides:
3^2 = 2h / 9.8
9 = 2h / 9.8
Multiply both sides by 9.8 to get:
2h = 9.8 * 9
2h = 88.2
Divide both sides by 2 to solve for h:
h = 88.2 / 2
h = 44.1 meters
Therefore, the height of the cliff is 44.1 meters, and it takes approximately 3 seconds for the stone to fall from the cliff to the ground.