A rock is dropped into the Grand Canyon. It takes 18 seconds to hit the bottom. Calculate how deep the canyon is.
s = 1/2 at^2 = 4.9 * 18^2 = ...
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To calculate the depth of the Grand Canyon, we can use the formula for calculating free fall distance. The formula is as follows:
d = (1/2) * g * t^2
Where:
d is the distance (depth) of the canyon
g is the acceleration due to gravity (approximately 9.8 m/s^2)
t is the time it takes for the rock to hit the bottom (18 seconds in this case)
Now, let's plug in the values and solve for d:
d = (1/2) * 9.8 * 18^2
d = 4.9 * 324
d ≈ 1587.6 meters
So, the depth of the Grand Canyon is approximately 1587.6 meters.