uke2fzz27f
Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

The function f(t)=^ - 16t^ 2 +84t models the height of a ballt seconds after it was kicked straight up into the air. How many seconds does it take the ball to hit the ground ?

Sagot :

Answer:

5.25 seconds

Step-by-step explanation:

When the ball hits the ground the height is zero

Equate f(t) to zero and solve for t , that is

- 16t² + 84t = 0 ← factor out - 4t from each term

- 4t(4t - 21) = 0

Equate each factor to zero and solve for t

- 4t = 0 ⇒ t = 0

4t - 21 = 0 ⇒ 4t = 21 ⇒ t = [tex]\frac{21}{4}[/tex] = 5.25

t = 0 is the time when the ball is kicked

t = 5.25 is the time taken for the ball to hit the ground

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.