Question

Solve for a in the equation Vf² = Vo² + 2aΔX.

Answer 1

To solve for a in the equation Vf² = Vo² + 2aΔX, substitute the known values into the equation and solve for a by rearranging and dividing.

Step-by-step explanation:

To solve for a in the equation Vf² = Vo² + 2aΔX, we need to substitute the knowns into the equation and solve for a.

1. Given: Vo = 30.0 m/s, Vf = 0, a = -7.00 m/s², and ΔX = X - Xo
2. Substituting the known values: 0² = 30.0² + 2aΔX
3. Expanding and rearranging the equation: 0 = 900.0 + 2aΔX
4. Subtracting 900.0 from both sides: -900.0 = 2aΔX
5. Dividing both sides by 2 and rearranging: -450.0 = aΔX
6. Dividing both sides by ΔX: -450.0/ΔX = a

Therefore, the value of a in the equation Vf² = Vo² + 2aΔX is -450.0/ΔX.