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To answer this question, we need to use Newton's Second Law of Motion, which states:

\[
F = ma
\]

where:
- \( F \) is the force applied,
- \( m \) is the mass of the object, and
- \( a \) is the acceleration.

If the force \( F \) remains constant, but the mass \( m \) is multiplied by four, we can analyze how this affects the acceleration \( a \).

Originally:
\[
a = \frac{F}{m}
\]

If the mass is quadrupled, the new mass becomes \( 4m \). Therefore, the new acceleration \( a' \) is:
\[
a' = \frac{F}{4m}
\]

Since \( \frac{F}{m} \) is the original acceleration \( a \), the equation becomes:
\[
a' = \frac{a}{4}
\]

Thus, the new acceleration will be one-fourth of the original acceleration. The correct answer is:

**c) It's acceleration will be a fourth of the original acceleration.**

Would you like more details or have any questions?

Here are some related questions to expand your understanding:

1. What happens to acceleration if the mass is halved while keeping the force constant?
2. How does increasing the force affect acceleration if the mass remains the same?
3. Can you explain why mass and acceleration are inversely proportional?
4. What other factors might affect the motion of an object besides mass and applied force?
5. How does Newton's Second Law apply to real-world scenarios, such as driving a car?

**Tip:** Remember that in physics, if one variable is held constant and another is changed, the relationship between them often becomes more apparent.

What do you think would happen if we multiply by four the mass of an object and then apply the same force?

Explore how increasing the mass of an object by four times while keeping the same force constant affects its acceleration, using Newton's Second Law of Motion. Detailed explanation for students in Grades 9-11.

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