Formula

g = 9.8m/s²

Speed: Scalar quantity (no direction)

s = $\frac{d}{t}$

d: total distance unit: m/s, km/s,

t: total time

Velocity: Vector quantity (has direction)

s = $\frac{d}{t}$

d: displacement unit: m/s

t: time interval

Acceleration:

a = $\frac{v}{t}$

v: v(final) - v(initial) unit: m/s²

t: time interval

Free Fall formula :

s = $\frac12gt^2$

Throw vertically upward (maximum height):

h = $\frac{v^20}{2g}$

Time to read maximum height:

t = $\frac{v0}{g}$

Total time to go up and come back down:

t = $\frac{2v0}{g}$

Horizontal distance:

x = v<x> • t<total>

Velocity at anytime (upward positive - vertical speed):

v = v0 - gt

Force in the same direction:

F<net​> = F1​+F2

Force in different direction:

F<net> = |F1-F2|

Force at right angles:

F<net> = $\sqrt{F1^2+F2^2}$

If mass is double, forces stay the same:

-a<new> = $\frac{F\left(net\right)}{2m}=\frac12a$ (original)

Scale upward:

F<scale> = m(g+a)

Scale downward:

F(scale) = m(g-a)
Acceleration (centripetal):

a<c> = $\frac{v^2}{r}$

Net Horizontal Force:

F<net> = ma<c>

Compare with weight:

\frac{F<hor,net >}{W} = …

Direction ( angle east of north):

$\theta=\tan^{-1}\left(\frac{x}{y}\right)$

Magnitude of v:

v = \sqrt{v^2<f>-v^2<i>}
Force centripetal (merry go around )

F<c> = $\frac{mv^2}{r}$

Force gravitational:

F = G\frac{M<e>Mm}{r^2}