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The problem asks to solve for \( v_1 \) in the formula for average acceleration, which is given as:

\[
a = \frac{v_1 - v_0}{t}
\]

Here:
- \( a \) is the average acceleration,
- \( v_1 \) is the final velocity (what we need to solve for),
- \( v_0 \) is the initial velocity,
- \( t \) is the time.

### Steps to solve for \( v_1 \):

1. Start with the equation:
   \[
   a = \frac{v_1 - v_0}{t}
   \]

2. Multiply both sides by \( t \) to eliminate the denominator:
   \[
   a \cdot t = v_1 - v_0
   \]

3. Add \( v_0 \) to both sides to isolate \( v_1 \):
   \[
   v_1 = a \cdot t + v_0
   \]

Thus, the solution is:

\[
v_1 = a \cdot t + v_0
\]

Would you like more details on how this formula is used in practice or further clarification?

Here are 5 related questions to deepen your understanding:
1. How do you calculate acceleration if you know the initial and final velocities?
2. How would the equation change if you wanted to solve for \( t \) instead of \( v_1 \)?
3. What units are typically used for acceleration, velocity, and time?
4. How can this formula be applied to an object in free fall?
5. What happens to \( v_1 \) if the acceleration is negative (deceleration)?

**Tip:** Always make sure that the units of all variables are consistent before solving the equation (e.g., time in seconds, velocity in meters per second, etc.).

Solve the formula for v₁ in the equation for average acceleration.

Learn how to solve for the final velocity (v₁) in the equation for average acceleration: a = (v₁ - v₀) / t. This problem is suitable for students in Grades 9-12 and covers fundamental concepts in algebra and kinematics.

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