Question

An object is propelled straight up from ground level. It's height at time t is modeled by f(t) = -16t^2 + 80t where the height, (t), is measured in feet and the time, t, is measured in seconds. In which time interval will the object be more than 96 feet above the ground? Be sure to show your work. 80 / 16(2) = 2.5 f(t) = -16t^2 + 80t a b f(t) = -16t^2 + 80t = 0 -8t(t + 10) = 0 23 seconds

          An object is propelled straight up from ground level. It's height at time t is modeled by f(t) = -16t^2 + 80t where the height, (t), is measured in feet and the time, t, is measured in seconds. In which time interval will the object be more than 96 feet above the ground? Be sure to show your work.
80 / 16(2) = 2.5
f(t) = -16t^2 + 80t
a b
f(t) = -16t^2 + 80t = 0
-8t(t + 10) = 0
23 seconds

Show more…

An object is propelled straight up from ground level. It's height at time t is modeled by f(t) = -16t^2 + 80t where the height, (t), is measured in feet and the time, t, is measured in seconds. In which time interval will the object be more than 96 feet above the ground? Be sure to show your work.
80 / 16(2) = 2.5
f(t) = -16t^2 + 80t
a b
f(t) = -16t^2 + 80t = 0
-8t(t + 10) = 0
23 seconds

Added by Sarah L.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Suman Saurav Thakur

10/24/2021

Step 1

Step 1:** Set the height function equal to 96 to find the time intervals when the object is more than 96 feet above the ground: -16t^2 + 34t + 6 = 96 -16t^2 + 34t - 90 = 0 ** Show more…

Show all steps

lock

Thanks for your feedback!

An object is propelled straight up from ground level. It is modeled by the function f(t) = -16t^2 + 80t, where the height h(t) is measured in feet and the time t is measured in seconds. In which time interval will the object be more than 96 feet above the ground? Be sure to show your work.

Play audio

Feedback

Powered by NumerAI

Suman Saurav Thakur and 56 other subject Precalculus educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later