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

A. [tex]\(\frac{3}{8}\)[/tex] inches per second squared
B. [tex]\(2 \frac{2}{3}\)[/tex] inches per second squared
C. 384 inches per second squared
D. 1,024 inches per second squared


Sagot :

To find the acceleration due to gravity in inches per second squared when given in feet per second squared, you need to convert the units from feet to inches.

1. Identify the given acceleration in feet per second squared:
The acceleration due to gravity is [tex]\( 32 \)[/tex] feet per second squared.

2. Know the conversion factor:
There are [tex]\( 12 \)[/tex] inches in a foot.

3. Convert the acceleration from feet to inches:
Multiply the given acceleration by the conversion factor.

[tex]\[ 32 \, \text{feet/second}^2 \times 12 \, \text{inches/foot} = 384 \, \text{inches/second}^2 \][/tex]

Therefore, the acceleration due to gravity in inches per second squared is [tex]\( 384 \)[/tex].

So the correct answer is:
[tex]\[ 384 \, \text{inches per second squared} \][/tex]