We appreciate your visit to You are helping with some repairs at home You drop a hammer and it hits the floor at a speed of 12 feet per second. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve this problem, we need to determine the height from which the hammer was dropped using the given formula:
[tex]\[ v = \sqrt{2gh} \][/tex]
where:
- [tex]\( v \)[/tex] is the velocity of the hammer when it hit the ground, which is 12 feet per second.
- [tex]\( g \)[/tex] is the acceleration due to gravity, which is 32 feet/second².
Our goal is to find [tex]\( h \)[/tex], the height from which the hammer was dropped.
1. Start by squaring both sides of the formula to eliminate the square root:
[tex]\[ v^2 = 2gh \][/tex]
2. Substitute the known values into the equation:
[tex]\[ 12^2 = 2 \times 32 \times h \][/tex]
3. Compute [tex]\( 12^2 \)[/tex], which is 144:
[tex]\[ 144 = 64h \][/tex]
4. Solve for [tex]\( h \)[/tex] by dividing both sides of the equation by 64:
[tex]\[ h = \frac{144}{64} \][/tex]
5. Simplify the fraction:
[tex]\[ h = 2.25 \][/tex]
Therefore, the hammer was dropped from a height of 2.25 feet above the ground. Thus, the correct answer is:
A. 2.25 feet
[tex]\[ v = \sqrt{2gh} \][/tex]
where:
- [tex]\( v \)[/tex] is the velocity of the hammer when it hit the ground, which is 12 feet per second.
- [tex]\( g \)[/tex] is the acceleration due to gravity, which is 32 feet/second².
Our goal is to find [tex]\( h \)[/tex], the height from which the hammer was dropped.
1. Start by squaring both sides of the formula to eliminate the square root:
[tex]\[ v^2 = 2gh \][/tex]
2. Substitute the known values into the equation:
[tex]\[ 12^2 = 2 \times 32 \times h \][/tex]
3. Compute [tex]\( 12^2 \)[/tex], which is 144:
[tex]\[ 144 = 64h \][/tex]
4. Solve for [tex]\( h \)[/tex] by dividing both sides of the equation by 64:
[tex]\[ h = \frac{144}{64} \][/tex]
5. Simplify the fraction:
[tex]\[ h = 2.25 \][/tex]
Therefore, the hammer was dropped from a height of 2.25 feet above the ground. Thus, the correct answer is:
A. 2.25 feet
Thanks for taking the time to read You are helping with some repairs at home You drop a hammer and it hits the floor at a speed of 12 feet per second. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
