### All AP Calculus AB Resources

## Example Questions

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

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

**Possible Answers:**

**Correct answer:**

Explanation:

First, we find the position function

Therefore, .

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

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

Find its initial position.

**Possible Answers:**

**Correct answer:**

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

Frederick

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Harvey Mudd College, Bachelor of Science, Mathematics. University of California-Berkeley, Master of Arts, Statistics.

### All AP Calculus AB Resources

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