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August 21, 2014

August 21, 2014

Posted by **Gabriel** on Wednesday, February 2, 2011 at 10:21pm.

a. How many seconds after its release will the bag strike the ground?

b. At what velocity will it hit the ground?

- calculus - INTEGRATION -
**drwls**, Thursday, February 3, 2011 at 2:03amThis question does not require calculus or integration.

It does require that you know the acceleration of gravity is 32 ft/s^2.

a. Solve for time t:

height = 64 + 16 t - (32/2)t^2 = 0

t^2 -t -4 = 0

t = (1/2)[1+ sqrt17] = 2.562 seconds

(ignore then negative root, -1.562 s)

b. V2 at impact = 16 - 32*2.562

= -66.0 ft/s

Energy Check: V2^2/2 - V1^2/2 = g*16 ft

as required

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