Question

Derive equation of motion through calcus method

Answer 1

Instead of differentiating velocity to find acceleration, integrate acceleration to find velocity. This gives us the velocity–time equation.Unlike the first and second equations of motion, there is no obvious way to derive the third equation of motion(the one that relates velocity to displacement) using calculus.

Answer 2

This gives us the velocity–time equation. If we assume acceleration is constant, we get the so-called first equation of motion [1]. ... Unlike the first and second equations of motion, there is no obvious way to derive the third equation of motion (the one that relates velocity to displacement) using calculus.