SOLUTION: The altitude (in feet) attained by a model rocket t sec into flight is given by the function h(t). Find the maximum altitude attained by the rocket. (Round your answer to the neare
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Question 1072856: The altitude (in feet) attained by a model rocket t sec into flight is given by the function h(t). Find the maximum altitude attained by the rocket. (Round your answer to the nearest foot.)
h(t)= -1/3t^3+2t^2+12t+20 (t≥0)
= ?ft Answer by ikleyn(52898) (Show Source):
You can put this solution on YOUR website! .
Take the derivative; equal it to zero and solve the quadratic equation to find the time of maximal altitude attained.
Then substitute this time into the function h(t) and find the maximal height.
