Quote:
Originally Posted by AdamHeard
Seems a little off to me....
Acceleration of the ball would be 9.8 m/s/s.
I've never been there.... so 47 floors I'm assuming is 705 ft (15*47), which is ~215 m. So, integrating the velocity shows that it hits 215m at 6.6 seconds.
I'm betting my guesstimation of height is off... but it's a closer approximation of time at least.
I'm too tired to finish.... I'll let Otaku take over from here and come up with the energy; goodnight everyone.
EDIT: forgot terminal velocity. It hits 54m/s after 5.5s and has traveled 148m, leaving 67 to go. So add 67m / 54m/s and you get a total of 6.75 s at 54m/s (my old calc, physics and chem teachers would kill me for all the approximations and random rounding).
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I thought it over (and talked to our team leader who is also the freshman physics teacher and teaches this stuff) and you've got a point. I didn't take into account the acceleration and such. The Atrium is 147m tall, 47 stories, that's just about 3.1m/story.
I'll dig up my freshman science notebooks and look up the formulas.
Also, I didn't take into account wind resistance because I do my physics calculations in happy go lucky fun time physics land. Where resistance is nonexistant.