Answer:
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)
