Linear Motion Formulas
Velocity can be expressed as (velocity = constant):
v = s / t (1a)
where
v = velocity (m/s, ft/s)
s = linear displacement (m, ft)
t = time (s)
Velocity can be expressed as (acceleration = constant):
v = V0 + a t (1b)
where
V0 = linear velocity at time zero (m/s, ft/s)
Linear displacement can be expressed as (acceleration = constant):
s = V0 t + 1/2 a t2 (1c)
Combining 1a and 1c to express velocity
v = (V02 + 2 a s)1/2 (1d)
Velocity can be expressed as (velocity variable)
v = ds / dt (1f)
where
ds = change of displacement (m, ft)
dt = change in time (s)
Acceleration can be expressed as
a = dv / dt (1g)
where
dv = change in velocity (m/s, ft/s)