2013-01-21
[public] 23.8K views, 540 likes, 8.00 dislikes audio only
The Maths as promised:
Time of fall (Box is actually 23inches above snow level):
2ft = 1/2(32)t^2
2/16 = t^2
t = .35s
Distance traveled:
253 strides x 2.5ft/stride = 633ft
Speed:
v = d/t
v = 633/.35
v = about 1800fps
this seems really fast so as a check I looked at the video to find how fast the gun recoiled (good thing I didn't put a rock behind it) I know the mass of the 2 objects and I know that the momentum should be the same assuming no losses. the gun weighs 3.7kg and the ball weighs .045kg. the gun recoiled at about 6.2m/s so a little more math...
Momentum of the gun:
6.2m/s x 3.7kg = 23 kg*m/s
Momentium of the ball:
23kg*m/s = .045kg x V
V = 23/.045
V = 511m/s
511m x 3.281ft/m = 1677ft
so according to the momentum change the ball got nearly 1700fps! not quite 1800fps but still pretty fast for a golf ball, no wonder I keep loosing my balls.