A falling iPad takes 0.15 s to travel past a window 2.7 m tall. From what height above the top of the window did the mobile device fall?
Equation to use?
To solve this problem, we can use the equation for free fall:
d = 1/2 * g * t^2
Where:
d = distance
g = acceleration due to gravity (approximately 9.8 m/s^2)
t = time
In this case, we need to find the initial height from which the iPad fell. We can assume that the initial velocity is zero.
Let's plug in the values we have:
d = 2.7 m
t = 0.15 s
g = 9.8 m/s^2
Solving for the initial height:
d = 1/2 * g * t^2
2.7 = 1/2 * 9.8 * (0.15)^2
2.7 = 1/2 * 9.8 * 0.0225
2.7 = 0.11025
To isolate the initial height, we need to multiply both sides of the equation by 2:
5.4 = 0.11025
Now, we can divide both sides by 0.11025 to solve for the initial height:
Height = 5.4 / 0.11025
Height ≈ 49.053 m
Therefore, the iPad fell from a height of approximately 49.053 meters above the top of the window.