During a high school baseball tournament, Lexile hits a pitch and the baseball stays in the air for 4.42 seconds. The function describes the height over time, where h is its height, in yards, and t is the time, in seconds, from the instant the ball is hit: h(t) = - 5t ^ 2 + 22t + .5

Answers

Answer 1

Answer:

a) The maximum height that the ball reaches is 73.1 meter

b ) The time elapsed when the ball reaches its maximum height of flight = 2.2 seconds

Step-by-step explanation:

The complete question is

During a high school baseball tournament, Lando hits a pitch and the baseball stays in the air for 4.42 seconds. The function h(t) = -5t2 + 22t + 0.5 describes the height over time, where h is its height, in meters, and t is the time, in seconds, from the instant the ball is hit. a. What is the maximum height the ball reaches? b. What will be the time elapsed when the ball reaches its maximum height of flight?

Solution:

For maximum height

[tex]\frac{dh}{dt} =0[/tex]

[tex]\frac{d(5t^2 + 22t + 0.5)}{dt}\\ 10t + 22 = 0\\t = 2.2[/tex]seconds

a) Maximum height

[tex]5 * t^2 + 22t + 0.5[/tex]

[tex]= 5 * 2.2 *2.2 + 22 * 2.2 + 0.5 \\= 73.1[/tex]

b) Time elapsed when the ball reaches maximum height is 2.2 seconds


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Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

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