2. A football is kicked vertically upward from the ground and a student gazing out of the window sees it
moving upwards past her at 5.00 m/s. The window is 15.0 m above the ground. Air resistance may be
ignored. Take g = 10 m/s?.
(a) How high does the football go above ground?
(b) How much time does it take to go from the ground to its highest point?
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Answer:
Explanation:
Let the initial velocity of football is u m/s
Motion from ground to window
v=5m/s
h=15m
v² =u² -2gh
25=u² -2*10*15
u²=325
Motion from window to highest point
u=5 m/s , v=0
v² =u² -2gh
0=25-2*10*h
A) h=5/4 m
so total height =15+5/4 =65/4 m
motion from ground to max height
u=√325
v=0
v=u-gt
B) t=√325/10 sec
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