A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the baseball in meters t seconds after it is hit is given by the quadratic function h (t) = - 4.9t^2 + 9.8t + 1. How long does it take for the baseball to reach its maximum height? What is the maximum height obtained by the baseball?

Question

Mathematics

Preston Warren

Yesterday, 21:19

A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the baseball in meters t seconds after it is hit is given by the quadratic function h (t) = - 4.9t^2 + 9.8t + 1. How long does it take for the baseball to reach its maximum height? What is the maximum height obtained by the baseball?

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Answers (1)

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Emmy Powell · Answer 1

Step-by-step explanation:

max can be found by the formula:

t=-b/2a

t=-9.8/2 * (-4.9)

t=-9.8/-9.8

t=1

1 sec

to find maximum height obtained we find the vertex:

plug in 1 for t and simply solve:

h (t) = - 4.9t^2 + 9.8t + 1

h (t) = - 4.9*1^2 + 9.8*1 + 1

h (t) = - 4.9*1 + 9.8 + 1

h (t) = - 4.9 + 10.8

h (t) = 5.9

height is 5.9