# AP Calculus AB : How to find position

## Example Questions

### Example Question #1 : How To Find Position

Given the velocity function , find the position at time  with initial position .

Explanation:

First, we find the position function

Therefore, .

### Example Question #2 : How To Find Position

Given the acceleration function is , intial velocity is 2 m/s, and the displacement at  is .

Find its initial position.

Explanation:

First, we find the velocity function by integrating the acceleration function

Since the initial velocity is 2 m/s, we have .

Then we integrate again to get the displacement function.

This implies