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$$\int_a^b f(x) \cdot dx = [F(x)]_a^b=F(b)-F(a)$$