The acceleration of an object due to gravity is 32 feet per second squared. What is 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
Answer (2)
Recognize that 1 foot equals 12 inches.
Multiply the acceleration in feet per second squared by the conversion factor (12 inches/foot).
Calculate the acceleration in inches per second squared: 32 × 12 = 384 .
The acceleration due to gravity is 384 inches per second squared.
Explanation
Understanding the Problem We are given that the acceleration due to gravity is 32 feet per second squared. We need to convert this to inches per second squared. We know that 1 foot is equal to 12 inches.
Conversion Factor To convert feet per second squared to inches per second squared, we multiply by the conversion factor, which is 12 inches per foot.
Calculation So, we have: 32 seco n d 2 f ee t × 12 f oo t in c h es = 384 seco n d 2 in c h es
Final Answer Therefore, the acceleration due to gravity is 384 inches per second squared.
Examples
Imagine you're designing a video game where objects fall according to realistic physics. Knowing the acceleration due to gravity in inches per second squared helps you program the game to simulate how quickly objects fall on the screen. This ensures that the game's physics feel accurate and immersive, making the gameplay more engaging and believable for the player.
The acceleration due to gravity is converted from 32 feet per second squared to 384 inches per second squared utilizing the conversion factor of 12 inches per foot. Therefore, the correct answer is option C: 384 inches per second squared.
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