You drop a rock from a cliff, and 6.56s later you see it hit the ground. How high is the cliff
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h = (1/2) g t^2
h = (1/2)(9.81) (6.56)^2 on earth
To calculate the height of the cliff, we can use the formula for the distance an object falls due to gravity:
d = 0.5 * g * t^2
Where:
- d is the distance (height)
- g is the acceleration due to gravity (9.8 m/s^2 on Earth)
- t is the time
In this case, the time is given as 6.56 seconds.
Plug in the values into the formula:
d = 0.5 * 9.8 * (6.56)^2
Calculating this, we find:
d ≈ 0.5 * 9.8 * 42.9136
d ≈ 208.30848
Therefore, the height of the cliff is approximately 208.30848 meters.