Chapter 6: Q. 75 (page 698)

A painter drops a brush from a platform 75 feet high. The polynomial $- 16 t^{2} + 75$ gives the height of the brush t seconds after it was dropped. Find the height after $t = 2$ seconds.

Short Answer

Expert verified

The height of the brush after 2 seconds is 11 feet.

Step by step solution

Step 1. Given information.

The height of the blush after t seconds is:

$- 16 t^{2} + 75$

The given time is $t = 2$ seconds.

Step 2. Evaluate the expression for the given value.

Substitute $t = 2$ in the given expression.

role="math" localid="1647693155251" $\begin{array}{rcl} - 16 (2)^{2} + 75 & = & - 16 (4) + 75 \\ = & - 64 + 75 \\ = & 11 \end{array}$

Step 3. Conclusion.

The height of the brush after 2 seconds is 11 feet.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

A painter drops a brush from a platform 75 feet high. The polynomial $- 16 t^{2} + 75$ gives the height of the brush t seconds after it was dropped. Find the height after $t = 2$ seconds.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Evaluate the expression for the given value.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Probability and Statistics

Discrete Mathematics

Decision Maths

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

A painter drops a brush from a platform 75 feet high. The polynomial −16t2+75gives the height of the brush t seconds after it was dropped. Find the height after t=2seconds.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Evaluate the expression for the given value.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Probability and Statistics

Discrete Mathematics

Decision Maths

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

A painter drops a brush from a platform 75 feet high. The polynomial $- 16 t^{2} + 75$ gives the height of the brush t seconds after it was dropped. Find the height after $t = 2$ seconds.