How do you find final velocity from acceleration and distance?

Use the equation:

v² = u² + 2as

which rearranges to:

v = √(u² + 2as)

If starting from rest (u = 0), this simplifies to:

v = √(2as)

This equation is perfect when you:

• Know the distance traveled (s)
• Know the acceleration (a)
• Don't know or need the time (t)

Example: A car accelerating at 2 m/s² from rest over 100 meters reaches v = √(2 × 2 × 100) = √400 = 20 m/s.