Question

Math help :) pleasee , and thnx

Answer 1

Answer:

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

Step-by-step 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