Final answer:
To solve for vi in the equation D = vit + 1/2at^2, divide both sides of the equation by t. To solve for a, subtract vit from both sides and then multiply by 2/t^2.
Step-by-step explanation:
To solve for vi in the equation D = vit + 1/2at^2, we need to isolate vi. Start by subtracting 1/2at^2 from both sides of the equation:
D - 1/2at^2 = vit
Next, divide both sides of the equation by t:
(D - 1/2at^2)/t = vi
So, the solution for vi is (D - 1/2at^2)/t. To solve for a, we need to isolate it in the same equation. Start by subtracting vit from both sides:
D - vit = 1/2at^2
Next, multiply both sides by 2/t^2:
(2/t^2) * (D - vit) = a
Therefore, the solution for a is (2/t^2) * (D - vit).