A car accelerates from a standing start at a constant 1 gravity. How long does it take to go a ¼ mile?
What would the speed be at the end of the ¼ mile?

Memorize and use these formulas:

For the first question:
x = x_0 + v_0t + (1/2)at^2.
Here x_0 = 0, v_0=0, x = 1/4 mile, a = 1g; solve for t. Be careful to use consistent units.

For the second:
v_1^2 - v_o^2 = 2ad.
Here you know a and d, and v_o = 0, so you can solve for v_1.