No, the equations for final velocity and final speed are not the same. Final velocity refers to the magnitude and direction of an object's velocity at a specific point in time, while final speed refers only to the magnitude of an object's velocity, regardless of its direction.
The equation for final velocity is typically denoted as "v" and is given by:
v = u + at
where:
- v is the final velocity,
- u is the initial velocity,
- a is the acceleration,
- t is the time elapsed.
On the other hand, final speed, denoted as "v_s", is the absolute value of the final velocity and is given by:
v_s = |v|
In other words, the final speed ignores the direction of the velocity vector and considers only its magnitude.