Velocity and Position by Integral Method

If acceleration as a function of time is known, then velocity and position functions can be derived using integral calculus. For constant acceleration, the integral equations refer to the first and second kinematic equations for velocity and position functions, respectively.

Consider an example to calculate the velocity and position from ...

Velocity and position can be calculated if the acceleration as a function of time is known. The time derivative of the velocity function is acceleration.

So, taking the integral on both sides of the equation, the velocity can be calculated as a function of time. The equation can be rewritten for the case of constant acceleration.

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