Posted by Erin on Thursday, January 26, 2012 at 5:54pm.
Vi = 35 sin 33.7 = 19.42 initial up
u = 35 cos 33.7 = 29.12 constant horizontal
v = Vi - g t
v = 19.42 - 9.8 t
when v/u = tan 16.3 we are there
v/29.12 = .2924
v = 8.515
so
8.515 = 19.42 - 9.8 t
t = 1.11 seconds
Compute the time that it takes for the vertical velocity component Vy to decrease from 35sin33.7 to 35cos33.7*tan16.3 .
(The horizontal velocity component remains 35cos33.7)
That time will be the difference of those numbers, divided by g.
(19.420 - 8.173)/9.81 = ___ s
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