You're standing in the middle of a 5 meter wide street with very high walls, as shown. You have a ball in you hand, and its obviously smooth and elastic.
The fun thing to do would be to throw the ball as hard as possible on the wall and watch it bounce against the wall, as shown. Have you wondered the how many bounces you could possibly achieve? The figure shows 3 bounces.
Make any assumption(s) you want (possibly using your vast knowledge of cricket). Please don't post any hints, just write down the integer answer.
Hint: If you watch cricket very closely, you would know that you can't throw at > 140 kmph (if you could, you wouldn't be solving physics problems)!
The fun thing to do would be to throw the ball as hard as possible on the wall and watch it bounce against the wall, as shown. Have you wondered the how many bounces you could possibly achieve? The figure shows 3 bounces.
Hint: If you watch cricket very closely, you would know that you can't throw at > 140 kmph (if you could, you wouldn't be solving physics problems)!
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ReplyDelete32(1st preference) or 30
ReplyDeleteHere is a solution:
ReplyDeleteThe number of bounces you can get is [R/5] where R is the maximum range you can achieve and 5 is the distance between the walls. Further [x] denotes the floor function of x.
The maximum range you can achieve is u^2/g. The maximum value of u is 140kph or ~ 39m/s. So, the answer is
155 (which seems absurdly high :/)