SOLUTION: A ball is thrown straight upward at an initial speed of 136 feet per seconds.
From Physics it is known that, after t seconds, the ball reaches a height h feet given by the for
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Question 339923: A ball is thrown straight upward at an initial speed of 136 feet per seconds.
From Physics it is known that, after t seconds, the ball reaches a height h feet given by the formula h=-16t2+136t.
Answer the following questions:
1. The ball reaches the height of 26.56nft after
t1=____________seconds
and
t2=___________seconds (with t1≤t2).
2. Does it reach the height of 389 feet ?
(Y or N)
3. The greatest height reached by the ball is
____________________feet.
4. The ball reaches the highest point after
t=_________seconds.
5. The ball hits the ground after
t=__________seconds
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Set the function equal to the specific height you wish to find the time for and the solve the resulting quadratic equation. The two roots will answer both parts of question 1.
Question 2. Answer question 3 first. If the answer to question 3 is greater than or equal to 389, then the answer to question 2 is Yes, otherwise it is no.
Question 3. First answer Question 4. Substitute the value from question 4 into the function to calculate the maximum height.
Question 4. Use the formula for the x-coordinate of the vertex of a parabola. 
.
Question 5. Set the function equal to zero and solve for 
. You are looking for the non-zero root here.
John
My calculator said it, I believe it, that settles it
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