Answer:
vf = √(vi²+2*(F/m)*D)
Explanation:
Given
Mass of the particle: M
Initial speed of the particle: vi
Force: F
Distance: D
We can apply the formula
F = M*a  ⇒   a = F/m
then we use the equation
vf = √(vi²+2*a*D)
⇒  vf = √(vi²+2*(F/m)*D)