Chris F. answered • 04/23/15

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When the rocket hits the ground, the height, h, will equal 0. So set your equation equal to zero and solve using the quadratic equation.

h=-4.9t

^{2}+ 23.8t + 3.50 = -4.9t

^{2}+ 23.8t + 3.5Using the quadratic equation, t=-0.1428 and t=5. Since a negative value for time doesn't make sense for this problem, we will discard it and go with 5 seconds.

So, the rocket will hit the ground 5 seconds after it is shot into the air.

Hope this helps,

Chris