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To isolate \( t \) from the given equation \( v_f = v_i + at \), we can follow these steps:

### 1. Subtract \( v_i \) from both sides:
\[
v_f - v_i = at
\]

### 2. Divide both sides by \( a \):
\[
t = \frac{v_f - v_i}{a}
\]

Thus, the formula isolated for \( t \) is:
\[
t = \frac{v_f - v_i}{a}
\]

Would you like further explanation on any of these steps?

Here are 5 related questions to explore further:
1. What is the physical meaning of \( v_f \), \( v_i \), and \( a \) in the equation?
2. How does this equation apply to uniformly accelerated motion?
3. Can you manipulate this formula to solve for \( a \) instead of \( t \)?
4. What are the units of each variable in this equation?
5. How would the equation change if there were no initial velocity, \( v_i \)?

**Tip:** Always double-check units when solving physics problems to ensure consistency, especially when manipulating equations.

Using the equation tool, manipulate the formula below to isolate for t: vf = vi + at.

Learn how to isolate time (t) in the kinematic equation vf = vi + at. This tutorial breaks down the algebraic manipulation step-by-step, making it suitable for high school physics and algebra students. Understand the relationship between final velocity, initial velocity, and acceleration.

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