Question

Solve for Vo in the equation Vf² = Vo² + 2aΔX

Answer 1

To solve for the initial velocity (Vo) in the equation Vf² = Vo² + 2aΔX, isolate Vo in the equation and insert the known values for final velocity (Vf), acceleration (a), and displacement (ΔX) to compute Vo.

Step-by-step explanation:

The question asks to solve for the initial velocity (Vo) in the kinematic equation Vf² = Vo² + 2aΔX. To solve for Vo, we must rearrange the equation to isolate Vo on one side. Assuming ΔX is the displacement (x - xo), a is the acceleration, and Vf is the final velocity, we perform the following steps:

1. Subtract 2aΔX from both sides of the equation to get Vf² - 2aΔX = Vo².
2. Take the square root of both sides of the equation to solve for Vo, resulting in Vo = √(Vf² - 2aΔX).

By inserting the known values for Vf, a, and ΔX into the rearranged equation, we can calculate the value of Vo.