24 |
displacement
|
\[
\Delta x=x_f-x_i
\]
|
27 |
average speed
|
\[
\mathrm{average\ speed}=\frac{\mathrm{total\ distance}}{\mathrm{total\ time}}
\]
|
26 |
average velocity
|
\[
{\overline{v}}_x=\frac{\Delta x}{\Delta t}
\]
|
29 |
velocity
|
\[
v_x=\lim\limits_{\Delta t\rightarrow0} {\frac{\Delta x}{\Delta t}}=\frac{dx}{dt}
\]
|
30 |
average acceleration
|
\[
{\overline{a}}_x=\frac{\Delta v_x}{\Delta t}=\frac{v_{x_f}-v_{x_i}}{t_f-t_i}
\]
|
31 |
acceleration
|
\[
a_x=\lim\limits_{\Delta t\rightarrow0}{\frac{\Delta v_x}{\Delta t}=\frac{dv_x}{dt}}
\]
|
35 |
kinematic equation
|
\[
v_{x_f}=v_{x_i}+a_xt
\]
|
36 |
kinematic equation
|
\[
\Delta x={\overline{v}}_xt=\frac{1}{2}\left(v_{x_i}+v_{x_f}\right)t
\]
|
36 |
kinematic equation
|
\[
\Delta x=v_{x_i}t+\frac{1}{2}a_xt^2
\]
|
36 |
kinematic equation
|
\[
v_{x_f}^2-v_{x_i}^2=2a_x\Delta x
\]
|