If a body travels a given distance with uniform acceleration from its starting position, the final velocity can be determined using the following equation:
v^2 = u^2 + 2as
Where:
- v is the final velocity of the body
- u is the initial velocity (which is typically zero if the body starts from rest)
- a is the uniform acceleration
- s is the distance traveled
If the body starts from rest (u = 0), the equation simplifies to:
v^2 = 2as
To find the final velocity (v), you would take the square root of both sides of the equation:
v = √(2as)
It's important to note that the equation assumes the acceleration remains constant throughout the motion. If the acceleration is not constant or if there are other external factors involved, this equation may not provide an accurate estimation of the final velocity.