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We are given the equation:

\[
v = u + at
\]

Where:
- \( v \) is the final velocity,
- \( u \) is the initial velocity,
- \( a \) is the acceleration,
- \( t \) is the time.

We are asked to solve for \( a \). To do that, we rearrange the equation:

\[
v = u + at
\]

Subtract \( u \) from both sides:

\[
v - u = at
\]

Now, divide both sides by \( t \) to isolate \( a \):

\[
a = \frac{v - u}{t}
\]

Thus, the correct expression for \( a \) is:

\[
a = \frac{v - u}{t}
\]

Now, looking at the options:

- Option **a** is \( \frac{v - u}{t} \), which is correct.

The answer is **Option a**.

Would you like further details or have any questions?

Here are five related questions you might find helpful:
1. What is the formula for final velocity if acceleration is given?
2. How does negative acceleration affect the equation \( v = u + at \)?
3. What is the difference between initial velocity and final velocity?
4. How do you calculate acceleration from a velocity-time graph?
5. What is the unit of acceleration in SI units?

**Tip:** When rearranging equations, always isolate the unknown variable step by step to avoid mistakes.

Learn how to calculate acceleration using the equation v = u + at. This problem demonstrates key concepts in kinematics and algebra. Suitable for students in Grades 9-12.

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