To find the final velocity of a moving object, you can use different equations depending on the available information. Here are three common scenarios:
When given the initial velocity (v₀), acceleration (a), and time (t): The equation to find the final velocity (v) is: v = v₀ + a * t
When given the initial velocity (v₀), acceleration (a), and distance traveled (d): If the time is unknown, you can use the following equation to find the final velocity (v): v² = v₀² + 2 * a * d
When given the initial velocity (v₀), distance traveled (d), and time (t): In this case, you can calculate the average velocity (v_avg) using the formula: v_avg = d / t Then, the final velocity (v) can be found by considering that the object accelerates uniformly between the initial and final positions. Thus, you can use: v = 2 * v_avg - v₀
Note that these equations assume constant acceleration. If the acceleration is not constant, such as in cases of varying forces or non-uniform motion, more complex methods may be required to determine the final velocity accurately.