SOLUTION: Sharice hit a baseball, and the flight of the ball was modeled by the following equation: h = -16t2 + 62t + 4. After how many seconds will the ball fall to the ground if it is not

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Question 606300: Sharice hit a baseball, and the flight of the ball was modeled by the following equation:
h = -16t2 + 62t + 4. After how many seconds will the ball fall to the ground if it is not caught? Round your answer to the nearest tenth.

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


The function gives the height at time . The ground is height zero. Set your function equal to zero and solve the quadratic for . You will get one positive and one negative root. Since you don't care what happened BEFORE she hit the ball, discard the negative root.

And tell her to lay off those high ones. The given function models a ball hit when it was 4 feet off of the ground and given the low initial velocity, I'm figuring her for a middle schooler (12 to 13 years old) using a wooden bat against a pitcher of average skill. Hence 4 feet off the ground is somewhere up around her chin.

John

My calculator said it, I believe it, that settles it
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