Final answer:
To solve for the initial velocity (Vo) in the equation ΔX = Vo*t + (1/2)(a*t²), isolate Vo by subtracting (1/2)(a*t²) from both sides and then dividing by t. This yields Vo = ΔX/t - (1/2)(a*t).
Step-by-step explanation:
To solve the equation ΔX = Vo*t + (1/2)(a*t²) for the initial velocity Vo, we need to isolate Vo on one side of the equation. First, let's rearrange the terms to separate Vo:
ΔX - (1/2)(a*t²) = Vo*t
Next, to solve for Vo, divide both sides by t:
ΔX/t - (1/2)(a*t) = Vo
Now we have Vo expressed in terms of the other variables:
Vo = ΔX/t - (1/2)(a*t)
This formula allows you to compute the initial velocity Vo if the displacement ΔX, the acceleration a, and the time t are known.