Need physics help! (there’s a picture)

i. Subtract v₀² from both of the equation.

ii. Divide both side of the equation by 2

iii. Divide both side of the equation by (x – x₀)

a = (v² – v₀²) / 2(x – x₀)

Explanation:

v² = v₀² + 2a(x – x₀)

To solve for a in the expression above, do the following:

i. Subtract v₀² from both of the equation.

v² – v₀² = v₀² – v₀² + 2a(x – x₀)

v² – v₀² = 2a(x – x₀)

ii. Divide both side of the equation by 2

(v² – v₀²) /2= 2a(x – x₀)/2

(v² – v₀²) /2 = a(x – x₀)

iii. Divide both side of the equation by (x – x₀)

(v² – v₀²) /2 ÷ (x – x₀) = a(x – x₀)/(x – x₀)

(v² – v₀²) /2 × 1/ (x – x₀) = a

a = (v² – v₀²) / 2(x – x₀)

the one with the highest speed