Question

The acceleration of an object due to gravity is 32 feet per second. What is acceleration due to gravity in inches per second?

Answer 1

384 inches per second.

Explanation:

We are given that the acceleration of an object due to gravity is 32 feet per second.

And we want to find the acceleration in inches per second.

The acceleration can be represented as a ratio of 32 feet : second. This can be written as a fraction:

`\displaystyle \frac{32\text{ feet}}{\text{second}}`

Use dimensional analysis. It is known that there is 12 inches in a feet. So, multiply by 12in/feet:

`\displaystyle = \frac{32\text{ feet}}{\text{second}}\cdot\frac{12\text{ inches}}{\text{feet}}`

Cancel like units:

`\displaystyle =\frac{32\cdot 12\text{ inches}}{\text{second}}`

Multiply:

`\displaystyle =\frac{384\text{ inches}}{\text{second}}`

In conclusion, our answer is 384 inches per second.