Final answer:
To solve the equation v = r + at for acceleration (a), subtract initial velocity (r) from both sides to obtain v - r = at, and then divide both sides by time (t) to get a = (v - r) / t.
Step-by-step explanation:
The student is asking how to solve the equation v = r + at for the variable a, where v represents final velocity, r is the initial velocity (often denoted as v0), a is acceleration, and t is time.
To solve for a, we need to isolate the variable on one side of the equation. Here's how it's done step by step:
- Begin with the equation: v = r + at.
- Subtract r from both sides to move it to the other side of the equation, giving us: v - r = at.
- Finally, divide both sides by t to isolate a, resulting in the solution: a = (v - r) / t.
By following these steps, we have expressed acceleration a in terms of the final velocity v, initial velocity r, and time t.