spec / kinematics.mdon commit Merge branch 'master' of ssh://charles/tank/andrew/school/notes (06ac421)
   1# Kinematics
   2
   3$${dV \over dt} = {\operatorname{change in volume} \over \operatorname{respect to time}}$$
   4
   5**position $x$** - distance from origin or fixed point  
   6**displacement $s$** - change in position from starting point (vector)  
   7**velocity $v$** - change in position with respect to time  
   8**acceleration $a$** - change in velocity  
   9**speed** - magnitude of velocity  
  10
  11$$v_{\operatorname{avg}}={\Delta x \over \Delta t}={{x_2 - x_1} \over {t_2 - t_1}}$$
  12$$\operatorname{speed}_{\operatorname{avg}}={\Delta v \over \Delta t}$$
  13
  14## Constant acceleration
  15
  16| | no |
  17| - | -- |
  18| $v=u+at$ | $s$ |
  19| $s=ut + {1 \over 2} at^2$ | $v$ |
  20| $v^2 = u^2 + 2as$ | $t$ |
  21| $s= {1 \over 2}(u+v)t$ | $a$ |
  22
  23## Velocity-time graphs
  24
  25- area = displacement
  26
  27## Definite integrals
  28
  29$$\int_a^b f(x) \cdot dx = [F(x)]_a^b=F(b)-F(a)$$