The question is incomplete. The complete question is here.
Tanya kicks a ball into the air. The function that models this scenario is h(t) = -16t² + 96t, where h is the height of the ball in feet and t is the time seconds. When will the ball hit the ground?
Answer:
The ball will hit the ground after 6 seconds
Step-by-step explanation:
∵ h(t) = -16t² + 96t
∵ h is the height of the ball in feet for t seconds
- That means at the ground h = 0
∵ h(t) = 0 when the ball hit the ground
∴ 0 = -16t² + 96t
Let us solve it by adding 16t² to both sides
∴ 16t² = 96t
- Subtract 96t from both sides
∴ 16t² - 96t = 0
Factorize it by taking 16t as a common factor from each term
∵ 16t² ÷ 16t = t
∵ 96t ÷ 16t = 6
∴ 16t(t - 6) = 0
Equate each factor by 0
∵ 16t = 0
- Divide both sides by 16
∴ t = 0 ⇒ initial position
∵ t - 6 = 0
- Add 6 to both sides
∴ t = 6 ⇒ final position
∴ The ball will hit the ground after 6 seconds
