A young boy shoots a rocket off of a table and the height of the rocket in meters is given by h(t) = -0.2t^2 +10t + 3 where t is in seconds.  How long does it take for the rocket to hit the ground?  And at what time is the rocket at its highest point? What is that height?

College Algebra (MindTap Course List)
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ISBN:9781305652231
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Chapter4: Polynomial And Rational Functions
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A young boy shoots a rocket off of a table and the height of the rocket in meters is given by h(t) = -0.2t^2 +10t + 3 where t is in seconds. 

How long does it take for the rocket to hit the ground? 

And at what time is the rocket at its highest point? What is that height? 

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