physics / projectiles.mdon commit Merge branch 'master' of ssh://charles/tank/andrew/school/notes (06ac421)
   1# Projectile motion
   2
   3- Horizontal velocity ($v_x$) remains constant if no drag
   4
   5- Vertical acceleration ($a_y$) $= -g$
   6
   7## Calculating velocity from $x$ and $y$ components
   8
   9${\displaystyle v={\sqrt {v_{x}^{2}+v_{y}^{2}\ }}}$
  10
  11## Displacement
  12
  13$x=v_{0}t\cos(\theta)$
  14$y=v_{0}t\sin(\theta )-{\frac  {1}{2}}gt^{2}$
  15
  16## Maximum height of an arc
  17
  18$h={\frac  {u^{2}\sin ^{2}(\theta )}{2g}}$
  19
  20## Time of flight
  21$y=u\ t\sin(\theta )-{\frac  {1}{2}}gt^{2}$