Kinematic Equations

• $V_f = V_i + at$
• $V_f^2 = V_i^2+2aD$
• $D = V_it + \frac{1}{2}at^2$
• $D = V_ft - \frac{1}{2}at^2$
• $D = \frac{1}{2}(V_f + V_i)t$

Take note of the missing variable for each equation, these don't have to be memorized since they are clearly derived from one root function.

A car starts at rest and accelerates at 3 m/s^2 for 8 seconds. How far did it go?

• $V_i = 0$ m/s
• $a = 3$ m/s^2
• $t = 8$ seconds

• $D = V_it + \frac{1}{2}at^2$

1. $D = 0(8) + \frac{1}{2}3(8^2)$
2. $D = 0 + 96$
3. $\boxed{D = 96 m}$

• $V_f = V_i + at$

1. $V_f = 0 + 3(8)$
2. $\boxed{V_f = 24 m/s}$