Final answer:
The formula f = m(vf - vi) / time is used in Physics to calculate force as it relates to motion, with specific focus on changes in velocity over time. To find time when given distance, initial velocity, and acceleration, the kinematic equation x = xo + vo*t + (1/2)*a*t² can be employed, leading to a quadratic equation to solve for time.
Step-by-step explanation:
The numerical formula f = m(vf - vi) / time is used to calculate force in relation to motion, where m represents mass, vf is the final velocity, vi is the initial velocity, and time is the duration over which the velocity change takes place.
To solve for the variable t (time), one might use the equation x = xo + vo*t + (1/2)*a*t², which is ideal when t is the only unknown. In a scenario where a student is trying to find the time it takes for an object with an initial velocity of 10.0 m/s and acceleration of 2.00 m/s² to travel 200 m, one would use this kinematic equation. By substituting the known values into the equation and simplifying, the resultant equation 200 = 10t + t² can then be solved as a quadratic equation to find the unknown time (t).