To find the initial velocity when given the final velocity and acceleration, you can use the following equation of motion:
v = u + at
Where: v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time taken.
If we assume that the time taken is known or not relevant to the problem, we can rearrange the equation to solve for the initial velocity, u:
u = v - at
In this case, the acceleration is given. If the time is not provided, it implies that the final velocity is reached from rest, so the initial velocity is zero. Therefore, the equation simplifies to:
u = v
So, when the final velocity is known and the acceleration is given, the initial velocity can be determined by setting it equal to the final velocity.