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.