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physics:kinematic_equations [2020/10/20 13:36] – epix | physics:kinematic_equations [2021/01/25 03:57] (current) – Add some definitions epix | ||
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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 | + | * $D = V_it + \frac{1}{2}at^2$ |
- | * D = (1/2)*(Vf+Vi)*t | + | * $D = V_ft - \frac{1}{2}at^2$ |
+ | * $D = \frac{1}{2}(V_f + V_i)t$ | ||
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. | 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 ===== | ===== Example ===== | ||
> A car starts at rest and accelerates at **3 m/s^2** for **8 seconds**. How far did it go? | > A car starts at rest and accelerates at **3 m/s^2** for **8 seconds**. How far did it go? | ||
- | Variables | + | ==== Variables |
- | * Vi = 0 m/s | + | * $V_i = 0$ m/s |
- | * a = 3 m/s^2 | + | * $a = 3$ m/s^2 |
- | * t = 8 seconds | + | * $t = 8$ seconds |
- | Equation(s) | + | ==== Equation(s) |
- | * D = Vi*t + (1/2)*a*t^2 | + | * $D = V_it + \frac{1}{2}at^2$ |
- | - D = 0*8 + (1/2)*3*8^2 | + | - $D = 0(8) + \frac{1}{2}3(8^2)$ |
- | - D = 0 + 96 | + | - $D = 0 + 96$ |
- | - __D = 96 m__ | + | - $\boxed{D |
- | * Vf = Vi + a*t | + | * $V_f = V_i + at$ |
- | - Vf = 0 + 3*8 | + | - $V_f = 0 + 3(8)$ |
- | - __Vf = 24 m/s__ | + | - $\boxed{V_f |