143k views
5 votes
Math help :) pleasee , and thnx

Math help :) pleasee , and thnx-example-1
User Iefpw
by
8.4k points

1 Answer

6 votes

Answer:

The ball is in the air for approximately 3.27 seconds ⇒ answer A

Explanation:

* Lets explain how to solve the problem

- The height of the ball is modeled by the function

h(t) = -4.9 t² + 16 t

- We need to find the time that the ball is in the air

- The ball is in the air from its initial position and then return to the

same position

- That means h(t) = 0 because h(t) represent the height of the ball

from its initial position

∵ h(t) = -4.9 t² + 16 t

∵ h(t) = 0

∴ 0 = -4.9 t² + 16 t

- Add 4.9 t² to both sides

∴ 4.9 t² = 16 t

- Subtract 16 t from both sides

∴ 4.9 t² - 16 t = 0

- Take t as a common factor

∴ t (4.9 t - 16) = 0

- Equate each factor by 0

∴ t = 0 and 4.9 t - 16 = 0

∵ 4.9 t - 16 = 0 ⇒ add 16 for both sides

∴ 4.9 t = 16

- Divide both sides by 4.9

∴ t = 3.2653

∴ t = 0 ⇒ initial position

∴ t = 3.2653 seconds ⇒ final position

* The ball is in the air for approximately 3.27 seconds

User David Lewis
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.