Q
QuestionPhysics

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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Answer

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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.

where $V$ is the velocity of the object, $g$ is the acceleration due to gravity, and $h$ is the height of the object above the ground.
The formula is:

Step 2
: In this case, we are given the velocity of the hammer ($V = 1$ feet/second) and the acceleration due to gravity ($g = 1$ feet/second²).

We need to find the height ($h$) from which the hammer was dropped.
Therefore, we need to rearrange the formula to solve for $h$.

Final Answer

The hammer was dropped from a height of 1 foot above the ground.