17 lines
826 B
Markdown
17 lines
826 B
Markdown
Motion in a straight line is one dimensionial.
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Kinematics or the physics of motion has 4 noteworthy parameters: time ($t$), position ($x$), velocity ($v$), and acceleration ($a$).
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Kinematic problems have a start and end of motion.
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# Displacement
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Displacement is calculated with the formula:
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$$\Delta x = \text{x-value of final position} - \text{x-value of initial posiion}$$
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# Velocity
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Average velocity over a time interval $\Delta t$ is defined to be: **the displacement** (net change in position), **divided by** **the time taken**.
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$$ \bar{v} = \dfrac{\text{final position-initial position}}{\text{final time - initial time}} = \dfrac{x_2 - x_1}{t_2 - t_1} = \dfrac{\Delta x}{\Delta t}$$
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**Speed (m/s)** is defined to be the total distance traveled divided by the time taken. Speed and velocity are *not the same*.
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