AP Physics 1 Functions

disclaimer!!

these formulas are based on what i’ve been taught and the variables i’m familiar with, this is mainly for my own use so i’m sorry for any possible differences in layout 😪 will be updating throughout the year to review

average speed

s = d/t

average velocity

v = △x/t

average (constant) acceleration

a = △v/t

final velocity

Vf = at + Vi

change in velocity

△v = a • t

average velocity

V = (Vf + Vi)/2

(if a is constant)

change in velocity

△v = Vf - Vi

displacement

△x = 1/2at² + Vit

displacement

△x = 1/2(Vi + Vf)t

displacement

△x = (Vf² - Vi²)/2a

final velocity²

Vf² = Vi² + 2a△x

V(t) for projectile motion

V(t)² = Vx² + Vy²

horizontal displacement for projectile motion

△x = Vixt

(½ at² removed b/c ax = 0 when launched horizontally)

vertical displacement for projectile motion

△y = Viyt + ½ gt²

Vix when no numbers are given

Vix = Vicos\theta

(pythagorean theorem!!)

Viy when no numbers are given

Viy = Visin\theta

horizontal displacement (only when △y = 0)

△x = Vi² sin(2\theta) / g

(double angle identity)

total time of flight (only when △y = 0)

t = -2Visin\theta / g

time at peak when △y = 0

tpeak = -Visin\theta / g

(total time has the 2 in front b/c its the time to get to the peak, just doubled. time from start → peak = time from peak → finish)

maximum height

Hmax = -Vi²sin²\theta / 2g

(when you sub in -9.8 for gravity (g), the negative cancels out with the negative in front of Vi²)