Express the displacement Δy of an object travelling with acceleration a during a time period Δt that has an initial velocity vi.

Answer: ∆y = vᵢ∆t + 0.5a (∆t) ²

Explanation:

The displacement of an object travelling at a particular acceleration, with an initial velocity vi through a period of ∆t can be expressed using the displacement equation.

d = ut + 0.5at²

Where;

d = y = displacement

u = vᵢ = initial velocity

a = acceleration

t = ∆t = time taken

Therefore,

∆y = vᵢ∆t + 0.5a (∆t) ²