Greetings, I need help solving the following problem: Aaron is in his tree house

Question

Greetings, I need help solving the following problem: Aaron is in his tree house 12 ft. above ground. He asked hismother to throw his baseball up to him. The equation h(t) =-18t2 + 27t +3 represents the height h of thebaseball t sec. after it has been thrown. How does Aaron's height in the tree house compare to the maxheight of the ball? Justify your answer Greetings, I need help solving the following problem: Aaron is in his tree house 12 ft. above ground. He asked hismother to throw his baseball up to him. The equation h(t) =-18t2 + 27t +3 represents the height h of thebaseball t sec. after it has been thrown. How does Aaron's height in the tree house compare to the maxheight of the ball? Justify your answer

Explanation / Answer

To do this we want of find out when the ball is at rest (timethat is) (at the top of its motion and the beginning) and from thiswe can find the height when it is at rest. The velocity of the ball is given by the equation: -36t+27=0 t=27/36 t=3/4
So at .75 the ball is at its maximum height, plug this intoyour original equation to get the maximum height of the ball andfrom this you can compare the two heights.

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