From: Andrew Lorimer Date: Tue, 4 Sep 2018 02:00:34 +0000 (+1000) Subject: separate kinematics notes X-Git-Tag: yr11~50 X-Git-Url: https://git.lorimer.id.au/notes.git/diff_plain/79b0d7a7179945802487a801b202e91a6c99da44?ds=sidebyside;hp=-c separate kinematics notes --- 79b0d7a7179945802487a801b202e91a6c99da44 diff --git a/spec/calculus.md b/spec/calculus.md index 91440e5..3dbee28 100644 --- a/spec/calculus.md +++ b/spec/calculus.md @@ -213,16 +213,3 @@ $\int k f(x) dx = k \int f(x) dx$ To find stationary points of a function, substitute $x$ value of given point into derivative. Solve for ${dy \over dx}=0$. Integrate to find original function. -## Kinematics - -$${dV \over dt} = {\operatorname{change in volume} \over \operatorname{respect to time}}$$ - -**position $x$** - distance from origin or fixed point -**displacement $s$** - change in position from starting point (vector) -**velocity $v$** - change in position with respect to time -**acceleration $a$** - change in velocity -**speed** - magnitude of velocity - -$$v_{\operatorname{avg}}={\Delta x \over \Delta t}={{x_2 - x_1} \over {t_2 - t_1}}$$ -$$\operatorname{speed}_{\operatorname{avg}}={\Delta v \over \Delta t}$$ - diff --git a/spec/kinematics.md b/spec/kinematics.md new file mode 100644 index 0000000..9755b0e --- /dev/null +++ b/spec/kinematics.md @@ -0,0 +1,21 @@ +# Kinematics + +$${dV \over dt} = {\operatorname{change in volume} \over \operatorname{respect to time}}$$ + +**position $x$** - distance from origin or fixed point +**displacement $s$** - change in position from starting point (vector) +**velocity $v$** - change in position with respect to time +**acceleration $a$** - change in velocity +**speed** - magnitude of velocity + +$$v_{\operatorname{avg}}={\Delta x \over \Delta t}={{x_2 - x_1} \over {t_2 - t_1}}$$ +$$\operatorname{speed}_{\operatorname{avg}}={\Delta v \over \Delta t}$$ + +## Constant acceleration + +| | no | +| - | -- | +| $v=u+at$ | $s$ | +| $s=ut + {1 \over 2} at^2$ | $v$ | +| $v^2 = u^2 + 2as$ | $t$ | +| $s= {1 \over 2}(u+v)t$ | $a$ | \ No newline at end of file