1# Projectile motion
23
- Horizontal velocity ($v_x$) remains constant if no drag
45
- Vertical acceleration ($a_y$) $= -g$
67
## Calculating velocity from $x$ and $y$ components
89
${\displaystyle v={\sqrt {v_{x}^{2}+v_{y}^{2}\ }}}$
1011
## Displacement
1213
$x=v_{0}t\cos(\theta)$
14$y=v_{0}t\sin(\theta )-{\frac {1}{2}}gt^{2}$
1516
## Maximum height of an arc
1718
$h={\frac {u^{2}\sin ^{2}(\theta )}{2g}}$
1920
## Time of flight
21$y=u\ t\sin(\theta )-{\frac {1}{2}}gt^{2}$