Question
A hang glider dropped his cell phone from a height of 450 feet. How many seconds did it take for the cell phone to reach the ground?
A hang glider dropped his cell phone from a height of 450 feet. How many seconds did it take for the cell phone to reach the ground?
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Koala Tutor
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To calculate the time it takes for an object to fall from a certain height, we can use the formula for free fall:
h = 0.5 * g * t^2
where:
h = height (in this case, 450 feet)
g = acceleration due to gravity (32.2 feet/second^2)
t = time (in seconds)
Rearranging the formula to solve for t, we have:
t = sqrt(2h/g)
Substituting the given values into the formula:
t = sqrt(2 * 450 feet / 32.2 feet/second^2)
t ≈ sqrt(28)
t ≈ 5.29 (rounded to two decimal places)
Therefore, it took approximately 5.29 seconds for the cell phone to reach the ground.
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