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The principle of superposition: $x$-motion is independent of $y$-motion
| $x$-component |
variable |
$y$-component |
| $x$ |
displacement, $\vec{r}$ |
$y$ |
| $V_x$ |
velocity, $\vec{V}$ |
$V_y$ |
| $V_{0x}$ |
initial velocity, $\vec{V_0}$ |
$V_{0y}$ |
| $a_x$ |
acceleration, $\vec{a}$ |
$a_y$ |
| |
time, $t$ |
|
|
\[
\begin{eqnarray*}
V_x & = & V_{0x}+a_xt \\
x & = & \overline{V_x}t={1\over2}(V_x+V_{0x})\>t \\
x & = & V_{0x}t+{1\over2}a_xt^2 \\
V_y^2 & = & V_{0y}^2+2a_y y
\end{eqnarray*}
\]
|
equationsofkinematics |
\[
\begin{eqnarray*}
V_y & = & V_{0y}+a_yt \\
y & = & \overline{V_y}t={1\over2}(V_y+V_{0y})\>t \\
y & = & V_{0y}t+{1\over2}a_yt^2 \\
V_x^2 & = & V_{0x}^2+2a_x x
\end{eqnarray*}
\]
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