Question

Solve the equation ΔX = 1/2(Vo + Vf)t for Vo.

Answer 1

To solve for Vo (initial velocity), multiply both sides of the equation by 2, divide by time t, and then subtract the final velocity Vf. This yields the formula Vo = (2ΔX) / t - Vf.

Step-by-step explanation:

To solve the equation ΔX = 1/2(Vo + Vf)t for Vo (initial velocity), we first need to isolate Vo. We'll start by multiplying both sides of the equation by 2 to get rid of the fraction:

• 2ΔX = (Vo + Vf)t

Then we'll divide by t to get:

• (2ΔX) / t = Vo + Vf

Now, we need to subtract Vf (final velocity) from both sides of the equation:

• Vo = (2ΔX) / t - Vf

The value of Vo can now be calculated once ΔX (displacement), Vf, and t (time) are known.