The formula for calculating theoretical initial velocity is:
Vi = (Vf - at) / (1/2)
The variables in the formula represent the following:
Vi: initial velocity
Vf: final velocity
a: acceleration
t: time
The value of acceleration can be determined by using the formula a = (Vf - Vi) / t, where Vi and Vf are the initial and final velocities respectively, and t is the time taken.
The units for the variables in the formula should be consistent, for example, if the time (t) is given in seconds, then the velocity (V) should be given in meters per second (m/s) and acceleration (a) in meters per second squared (m/s2).
Other factors that should be considered when calculating theoretical initial velocity include air resistance, wind speed, and the angle of launch. These factors can affect the actual initial velocity and should be taken into account for a more accurate calculation.