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December 22, 2014

December 22, 2014

Posted by **Dee** on Thursday, January 31, 2013 at 3:23pm.

- physics -
**Damon**, Thursday, January 31, 2013 at 3:42pmoriginal 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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