Motion in a Straight Line — Formula Sheet

v = lim(Δt→0) Δx/Δt = dx/dt

v̄ = Δx/Δt

v̄ = (v + v0)/2

ā = (v2 - v1)/(t2 - t1) = Δv/Δt

a = lim(Δt→0) Δv/Δt = dv/dt

For x = a + bt^2, velocity at t = 0 s is 0 m/s and at t = 2.0 s is 10 m/s.

For the same motion, average velocity between t = 2.0 s and t = 4.0 s is 15 m/s.

It is given by v = dx/dt.

Instantaneous velocity is defined as the limit of average velocity as the time interval becomes infinitesimally small: v = lim_{Δt→0} Δx/Δt = dx/dt.