A student drops an object from the top of a building 19.6 meters from the ground. How long does it take the object to fall to the ground?A 19.6 secondsB 3.00 secondsC 4.00 secondsD 2.00 seconds
Question
A student drops an object from the top of a building 19.6 meters from the ground. How long does it take the object to fall to the ground?A 19.6 secondsB 3.00 secondsC 4.00 secondsD 2.00 seconds
Solution
To solve this problem, we can use the physics formula for the distance an object falls due to gravity, which is d = 0.5gt^2, where d is the distance, g is the acceleration due to gravity (9.8 m/s^2 on Earth), and t is the time it takes to fall.
We can rearrange the formula to solve for time: t = sqrt(d / 0.5g)
Substituting the given values: t = sqrt(19.6 m / 0.5 * 9.8 m/s^2) = sqrt(4 s^2) = 2 seconds
So, the correct answer is D, 2.00 seconds.
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