Final answer:
Torricelli's formula is derived by rearranging kinematic equations which relate initial and final velocity, acceleration, and displacement, resulting in the formula v² = vo² + 2ax, where initial position xo is taken as zero.
Step-by-step explanation:
The student is inquiring about deriving Torricelli's formula using kinematic equations. To derive this, we analyze the given equations x = xo + vt and v = vo + at, where xo is the initial position, V is the velocity at time t, and vo is the initial velocity, and a is the acceleration. We also consider the equation v² = vo² + 2a(x - xo), which is derived from substituting the time eliminated from the first two equations and is very useful when time is not given.
For the derivation of Torricelli's equation, if we take xo as the starting position to zero, we can rearrange the formula to get v² = vo² + 2ax, which is essentially Torricelli's equation. This equation shows the relationship between the final velocity squared (v²), initial velocity squared (vo²), acceleration (a), and displacement (x).