# Worksheet: The Net Change Theorem

In this worksheet, we will practice applying the net change theorem.

**Q1: **

True or False? The Net Change Theorem says that .

- Atrue
- Bfalse

**Q2: **

True or False: If represents the rate of change of a catβs weight in kilograms per month when it is months old, then equals the catβs weight when it is 4 months old.

- Afalse
- Btrue

**Q3: **

True or False: The net change theorem states that .

- AFalse
- BTrue

**Q4: **

A particleβs velocity in metres per second as a function of time is . What distance does it travel between and ?

- A 31 m
- B 2 m
- C m
- D 7 m

**Q6: **

Suppose that . Evaluate using the net change theorem.

**Q7: **

An oil tanker leaks at the rate liters per minute, where is the number of minutes after the accident. Write an integral that expresses the volume of oil leaked out in the first hour.

- A
- B
- C
- D
- E

**Q8: **

A particleβs velocity in metres per second as a function of time is . What distance does it travel between and ?

- A m
- B 60 m
- C 6 m
- D m
- E m

**Q9: **

A particleβs velocity in metres per second as a function of time is . What distance does it travel between and ?

- A 15 m
- B m
- C m
- D m
- E 3 m