# Calculus 2 : Applications in Physics

## Example Questions

### Example Question #41 : Applications In Physics

If and , what is the original position function?

Explanation:

Recall that integrating the velocity function will yield you the position function:

Now, integrate:

Since, C is 0, your position function is:

.

### Example Question #42 : Applications In Physics

If and , what is the original position function?

Explanation:

Recall that integrating the velocity function will yield the position function:

Now, integrate.

### Example Question #43 : Applications In Physics

If and , what is the original position function?

Explanation:

First, set up the integral expression:

Next, integrate:

Now, plug in your initial conditions:

Now, plug your C back into the position function:

### Example Question #44 : Applications In Physics

If and , what is the original position function?

Explanation:

Recall that the integral of the velocity function is the position function:

Now, integrate. Remember to raise the exponent by 1 and also put that result on the denominator:

Now, plug in your initial conditions:

### Example Question #45 : Applications In Physics

If and , what is the original position function?

Explanation:

Recall that the integral of the velocity function is the position function. Write the integral expression:

Now, integrate:

Plug your C back into the position function:

### Example Question #221 : Integrals

If and , what is the original position function?

Explanation:

Recall that the integral of the velocity function is the position function. Write the integral expression:

Now integrate:

Plug in your initial conditions to find C:

Plug your C into the position function:

### Example Question #222 : Integrals

If and , what is the original position function?

Explanation:

Recall that the integral of velocity is position. Therefore, write the integral expression:

Integrate. Remember to raise the exponent by 1 and also put that result on the denominator:

Now, plug in your initial conditions:

### Example Question #223 : Integrals

If and , what is the original position function?

Explanation:

Recall that the integral of velocity is position. Therefore, write your integral expression:

Now, integrate:

Plug in your initial conditions to find C:

### Example Question #224 : Integrals

If and , what is the original position function?

Explanation:

Recall that the integral of the velocity function is the position function. Therefore, write your integral expression:

Integrate:

Plug in your initial conditions to find C:

Plug C back in to your position function:

### Example Question #225 : Integrals

If and , what is the original position function?