You are helping with some repairs at home. You drop a hammer and it hits the floor at a speed of 8 feet per...

Question

You are helping with some repairs at home. You drop a hammer and it hits the floor at a speed of 8 feet per second. If the acceleration due to gravity (g) is 32 feet/second², how far above the ground (h) was the hammer when you dropped it? Use the formula:

V=√2gh
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CramX · Accepted Answer

Step 1: : To solve this problem, we need to use the given formula, which is the velocity of an object when it hits the ground after free-falling from a certain height.. The formula is: Step 2: : In this case, we are given the velocity of the hammer ($V = 8$ feet/second) and the acceleration due to gravity ($g = 32$ feet/second²).. Therefore, we need to rearrange the formula to solve for $h$. Step 3: : To solve for $h$, first, square both sides of the equation:. Step 4: : Next, divide both sides by $2g$:. Step 5: : Now, substitute the given values into the equation:. Step 6: : Calculate the value:. Step 7: : Therefore, the hammer was dropped from a height of 1 foot above the ground.. Final Answer: The hammer was dropped from a height of 1 foot above the ground.

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Full Solution Locked

Step 1:
: To solve this problem, we need to use the given formula, which is the velocity of an object when it hits the ground after free-falling from a certain height.

Step 2:
: In this case, we are given the velocity of the hammer ($V =
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1$ feet/second²).

Step 3:
: To solve for $h$, first, square both sides of the equation:

Final Answer

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