Kinematic Equations

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

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 vector quantity includes direction within its value. Acceleration and Velocity are vector quantities.

Scalar quantities don't, speed is the obvious one.

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