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