Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

One of the construction workers likes to listen to music on the job. Unfortunately, he
also has a bad habit of accidentally dropping his music player into the ravine! Luckily,
his daughter is good with physics and has built a safety balloon for his latest music
player that will release after the music player has been falling for 1 second.
The time it takes for the music player to fall from the bridge to the bottom of the
ravine can be modeled by the following equation:
1-
81 +24
16
where tis the amount of time since the construction worker dropped his music
player
Will the safety balloon release in time?
6. First, how long will it take for the music player to fall to the bottom of the ravine?
Solve the equation and find the values of t. (2 points: 1 point for each value)

Sagot :

MrRoyal

The equation of the ravine function is an illustration of a quadratic function

It will take 1.5 seconds for the music player to fall to the bottom of the ravine

How to determine the time the music player will fall to the bottom?

The equation of the function is given as:

[tex]t = \sqrt{\frac{8t + 24}{16}}[/tex]

Take the square of both sides

t² = (8t + 24)/16

Multiply both sides by 16

16t² = 8t + 24

Divide through by 8

2t² = t + 3

Set the equation to 0

2t² - t - 3 = 0

Expand the equation

2t² + 2t- 3t - 3 = 0

Factorize the equation to 0

2t(t + 1)- 3(t + 1) = 0

Factor out t + 1

(2t- 3)(t + 1) = 0

Expand

2t- 3 = 0 or t + 1 = 0

Solve for t

t= 1.5 or t =- 1

Time cannot be negative.

So, we have:

t = 1.5

Hence, it will take 1.5 seconds for the music player to fall to the bottom of the ravine

Read more about quadratic functions at:

https://brainly.com/question/1214333

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.