Kinematics Equations

d

displacement (m)

Vo

initial velocity (m/s)

Vf

final velocity (m/s)

V_f^{2 =} ?

V₀² + 2ad

a

acceleration (m/s²)

t

time (s)

V_0,x =

V₀cosθ

V_0,y =

V₀sinθ

V_0,x

initial velocity in x direction

V_0,y

initial velocity in y direction

θ

launch angle

d= (no accleration)

½ (V₀+V_f)t

d= (acceleration)

V₀t + ½ at²

V_f=

V₀+a△t

s (displacement vector) =

V_{a x} △t

r=

d/△t

a=

△v/△t

v=

d/t

x-x₀₌

v_ot+1/2at²

v-v_{o =}

at

v²=

v^2₀ +2a(x-x₀)

v_avg=

1/2(v+v_o)

v=(gravity)

sqrt(2gh)