Posted by Dee on Thursday, January 31, 2013 at 3:23pm.
original component of velocity up = Vi
= 16.1 sin 41.1 = 10.6 m/s
H = Hi + Vi t - (1/2) 9.81 t^2
3 = 0 + 10.6 t - 4.9 t^2
so
4.9 t^2 - 10.6 t + 3 = 0
t^2 - 2.16 t + .612 = 0
t = [ 2.16 +/- sqrt(4.67-2.44) ]/2
t = 1.08 +/- .75
t = 1.83 seconds or .33 seconds
Use the 1.83 seconds. The .33 is on the way up just after you hit it.
What is the speed at t = 1.83
horizontal speed is 16.1 cos 41.1
= 12.1 m/s
vertical speed:
v = Vi -9.81 t
v = 10.6 - 9.81(1.83)
v = -7.35 m/s
total speed = sqrt (12.1^2 + 7.35^2)
= 14.15 m/s
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