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.

When an object is in free fall, gravity is the only force affecting the object. Useful for narrowing forces for calculation.

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. $\boxed{V_f = 24 m/s}$