SOLUTION: A baseball player hits a ball into the air. The ball's height above the ground, in meters, t seconds after being hit, is approximated by h(t)=1+13t-5t^2. Algebraically determine th
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Question 171386: A baseball player hits a ball into the air. The ball's height above the ground, in meters, t seconds after being hit, is approximated by h(t)=1+13t-5t^2. Algebraically determine the time when the ball first reaches a height of 9 m.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
You want to find the value of t when h(t)=9
So set the expression for h(t) equal to 9 and solve for t.
Put it in standard form:
Factors to , so or . But the question asks for when the ball will FIRST be at 9 meters, so pick the lowest time value, namely
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