RECTILINEAR KINEMATICS

Rectilinear kinematics investigates lows of motion of objects along straight line without any reference to forces that cause the motion to change

Here (all units see here):

t₀  is initial time on time interval Dt
t= t₀+Dt  is final time
x₀ is position at time t₀
x= x(t)  is final position at time  t
Dx= x-x₀  is displacement during time Dt
v₀ is initial velocity at time t₀
v is final velocity at time t
a is acceleration