A ball is dropped from an upper floor, some unknown distance above your apartmen
ID: 1593458 • Letter: A
Question
A ball is dropped from an upper floor, some unknowndistance above your apartment. As you look out of your window, which is 1.2 m tall, you observe that it takes the ball
0.18 s to traverse the length of the window. Determine how
high above the top of your window the ball was dropped.
Ignore the effects of air resistance. A ball is dropped from an upper floor, some unknown
distance above your apartment. As you look out of your window, which is 1.2 m tall, you observe that it takes the ball
0.18 s to traverse the length of the window. Determine how
high above the top of your window the ball was dropped.
Ignore the effects of air resistance.
Explanation / Answer
Velocity with which the ball transverses the length of the window
v = (1.2m) / (0.18s) = 6.67 m/s
Since ball was dropped the initial velocity is zero i.e. u = 0 m/s
Let h be the height above your window.
Using equation in vertical motion
v2 - u2 = 2g(h+1.2)
6.672 - 0 = 2 (9.8) (h+1.2)
h = 1.07 m
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