A boy sees a ball going up then coming down through a windows of 2m high .If the total time the ball in sight 1s ,the height above the window that the ball rises is
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Given: A ball going up then coming down through a windows of 2 m high, total time the ball in sight 1 s.
To find: The height above the window that the ball rises?
Solution:
- Now we have given the window of 2 m high and ball in sight as 1 s.
- The formula for distance is: s = ut + 1/2 x at²
- Here a = g and u = speed when the ball passes the bottom of the window
- The time for travelling in one direction will be = 1/2 sec
- So putting these values in formula, we get:
2 = u/2 + 1/2 x 9.8 x (1/2)²
2 = u/2 + 9.8/8
2 = u/2 + 1.225
u/2 = 2 - 1.225
u/2 = 0.775
u = 1.55 m/s
- So total height the ball rises from bottom of the window will be:
s1 = (1.55)² / (2 x 9.8)
s1 = 2.4025 / 19.6
s1 = 0.12257 m
Answer:
So the height above the window that the ball rises is 0.12257 m.
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