To find the final velocity of a moving object using the initial velocity and either the acceleration or the time and distance traveled, we can use different equations of motion.
Using initial velocity (Vi), acceleration (a), and time (t): The equation that relates the final velocity (Vf), initial velocity (Vi), acceleration (a), and time (t) is: Vf = Vi + at
Using initial velocity (Vi), acceleration (a), and distance (d): If you have the distance traveled by the object (d) instead of time, you can use the following equation: Vf^2 = Vi^2 + 2ad
Using initial velocity (Vi), time (t), and distance (d): In some cases, you may have both the time and distance traveled. You can use the following equation: Vf = (2d - Vi * t) / t
Note that for these equations to be applicable, the acceleration must be constant throughout the motion. If the acceleration is not constant, more complex equations or numerical methods may be required to determine the final velocity accurately.