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| ====== Kinematic Equations ====== | ====== Kinematic Equations ====== | ||
| - | * Vf = Vi + a*t | + | * $V = \frac{\Delta \text{position}}{\Delta \text{time}}$((displacement is the change in position, and velocity is that over time)) |
| - | * Vf^2 = Vi^2+2*a*D | + | |
| - | * D = Vi*t + (1/2)*a*t^2 | + | * $V_f^2 = V_i^2+2aD$ |
| - | * D = Vf*t - (1/2)*a*t^2 | + | |
| - | | + | * $D = V_ft - \frac{1}{2}at^2$ |
| + | | ||
| + | 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. | ||
| + | |||
| + | ===== Definitions ===== | ||
| + | ==== Vector ==== | ||
| + | A vector quantity includes direction within its value. | ||
| + | |||
| + | ==== Scalar ==== | ||
| + | Scalar quantities don't, speed is the obvious one. | ||
| + | |||
| + | ==== Free Fall ==== | ||
| + | When an object is in free fall, gravity is the only force affecting the object. Useful for narrowing forces for calculation. | ||
| + | |||
| + | ===== Example ===== | ||
| + | > A car starts at rest and accelerates at **3 m/s^2** for **8 seconds**. How far did it go? | ||
| + | ==== Variables ==== | ||
| + | * $V_i = 0$ m/s | ||
| + | | ||
| + | | ||
| + | |||
| + | ==== Equation(s) ==== | ||
| + | * $D = V_it + \frac{1}{2}at^2$ | ||
| + | | ||
| + | - $D = 0 + 96$ | ||
| + | - $\boxed{D = 96 m}$ | ||
| + | | ||
| + | - $V_f = 0 + 3(8)$ | ||
| + | - $\boxed{V_f = 24 m/s}$ | ||
