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The world record for free hen's egg throwing is 96.90 m, set in 1981. Assuming no air resistance, what would have been the (a) throwing speed; (b) elevation angle; (c) maximum height; (d) time of flight?
(Assume acceleration due to gravity = 10m/s/s)
This question is possible to answer!!!
Please show how you got the question..this would be a great help to me!!
And best of all...best answer gets 10 points!!!!

ok...i understand what everyone is saying...but in the test book these are the answers given...
(a)31.1m/s
(b)45 degrees
(c)+24m
(d)4.4s
if anyone can help show me how they got these anwers it would be a big help

2006-11-27 08:44:20 · 1 answers · asked by Brody 3 in Science & Mathematics Physics

1 answers

It is an exercise in elementary calculus to show that (ignoring air resistance) the elevation angle for maximum distance is 45 degrees. The vertical velocity of the egg will be zero at the peak height, and will increase as v = gt^2/2 until it hits the ground. Energy is conserved, so the vertical velocity when it strikes the ground will match the vertical velocity with which it was launched, and the horizontal velocity will be constant. This is enough data to solve the whole thing, but there is a shortcut: in the parabolic path at issue, it is always true that the peak height is 1/4 of the horizontal distance. Hence, the peak height here is 24.225 meters, and that makes it trivial to compute the time and hence the velocity.

2006-11-27 08:54:20 · answer #1 · answered by Anonymous · 1 0

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