# Physics equations/16-Oscillatory Motion and Waves/Q:CALCULUS/Testbank

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## Contents

## Oscillatory motion calculus quiz[edit]

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- This document contains either a study guide OR pairs of exams taken from the same exam bank
- If two exams have the same s-number, then v1 and v2 have the same questions, presented in different (random) order.
- Exams with different s-numbers have different questions and may not have the same difficulty.
- Click items in the table of contents and appropriate page should be reached. This feature should allow you to print only those pages that you need.

- At the end of this document
**Attribution**for the quizzes identifies where the questions were obtained**Study guide**links reading materials and/or relevant equations.

### Oscillatory motion calculus quiz-v1s1[edit]

1. If a particle's position is given by *x(t) = 5sin(4t-π/6)*, what is the acceleration?

- ___ a)
*a(t) = -80sin(4t-π/6)*

- ___ b)
*a(t) = -100sin(4t-π/6)*

- ___ c)
*a(t) = +80sin(4t-π/6)*

- ___ d)
*a(t) = -100cos(4t-π/6)*

- ___ e)
*a(t) = +20sin(4t-π/6)*

2. If a particle's position is given by *x(t) = 7cos(3t-π/6)*, what is the velocity?

- ___ a)
*v(t) = -21cos(3t-π/6)*

- ___ b)
*v(t) = 21cos(3t-π/6)*

- ___ c)
*v(t) = 7sin(3t-π/6)*

- ___ d)
*v(t) = 21sin(3t-π/6)*

- ___ e)
*v(t) = -21sin(3t-π/6)*

3. If a particle's position is given by *x(t) = 5sin(4t-π/6)*, what is the velocity?

- ___ a)
*v(t) = -20sin(4t-π/6)*

- ___ b)
*v(t) = 20sin(4t-π/6)*

- ___ c)
*v(t) = -20cos(4t-π/6)*

- ___ d)
*v(t) = 20cos(4t-π/6)*

- ___ e)
*v(t) = 5cos(4t-π/6)*

4. If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the velocity?

- ___ a)
*v(t) = -21cos(3t-π/6)*

- ___ b)
*v(t) = 7cos(3t-π/6)*

- ___ c)
*v(t) = -21sin(3t-π/6)*

- ___ d)
*v(t) = 21cos(3t-π/6)*

- ___ e)
*v(t) = 21sin(3t-π/6)*

5. If a particle's position is given by *x(t) = 5cos(4t-π/6)*, what is the velocity?

- ___ a)
*v(t) = 20sin(4t-π/6)*

- ___ b)
*v(t) = 20cos(4t-π/6)*

- ___ c)
*v(t) = -20sin(4t-π/6)*

- ___ d)
*v(t) = -20cos(4t-π/6)*

- ___ e)
*v(t) = 5sin(4t-π/6)*

6. If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the acceleration?

- ___ a)
*a(t) = -63sin(3t-π/6)*

- ___ b)
*a(t) = +63sin(3t-π/6)*

- ___ c)
*a(t) = -21cos(3t-π/6)*

- ___ d)
*a(t) = -21sin(3t-π/6)*

- ___ e)
*a(t) = +21sin(3t-π/6)*

#### Key to Oscillatory motion calculus quiz-v1s1[edit]

1. If a particle's position is given by *x(t) = 5sin(4t-π/6)*, what is the acceleration?

- + a)
*a(t) = -80sin(4t-π/6)*

- + a)

- - b)
*a(t) = -100sin(4t-π/6)*

- - b)

- - c)
*a(t) = +80sin(4t-π/6)*

- - c)

- - d)
*a(t) = -100cos(4t-π/6)*

- - d)

- - e)
*a(t) = +20sin(4t-π/6)*

- - e)

2. If a particle's position is given by *x(t) = 7cos(3t-π/6)*, what is the velocity?

- - a)
*v(t) = -21cos(3t-π/6)*

- - a)

- - b)
*v(t) = 21cos(3t-π/6)*

- - b)

- - c)
*v(t) = 7sin(3t-π/6)*

- - c)

- - d)
*v(t) = 21sin(3t-π/6)*

- - d)

- + e)
*v(t) = -21sin(3t-π/6)*

- + e)

3. If a particle's position is given by *x(t) = 5sin(4t-π/6)*, what is the velocity?

- - a)
*v(t) = -20sin(4t-π/6)*

- - a)

- - b)
*v(t) = 20sin(4t-π/6)*

- - b)

- - c)
*v(t) = -20cos(4t-π/6)*

- - c)

- + d)
*v(t) = 20cos(4t-π/6)*

- + d)

- - e)
*v(t) = 5cos(4t-π/6)*

- - e)

4. If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the velocity?

- - a)
*v(t) = -21cos(3t-π/6)*

- - a)

- - b)
*v(t) = 7cos(3t-π/6)*

- - b)

- - c)
*v(t) = -21sin(3t-π/6)*

- - c)

- + d)
*v(t) = 21cos(3t-π/6)*

- + d)

- - e)
*v(t) = 21sin(3t-π/6)*

- - e)

5. If a particle's position is given by *x(t) = 5cos(4t-π/6)*, what is the velocity?

- - a)
*v(t) = 20sin(4t-π/6)*

- - a)

- - b)
*v(t) = 20cos(4t-π/6)*

- - b)

- + c)
*v(t) = -20sin(4t-π/6)*

- + c)

- - d)
*v(t) = -20cos(4t-π/6)*

- - d)

- - e)
*v(t) = 5sin(4t-π/6)*

- - e)

6. If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the acceleration?

- + a)
*a(t) = -63sin(3t-π/6)*

- + a)

- - b)
*a(t) = +63sin(3t-π/6)*

- - b)

- - c)
*a(t) = -21cos(3t-π/6)*

- - c)

- - d)
*a(t) = -21sin(3t-π/6)*

- - d)

- - e)
*a(t) = +21sin(3t-π/6)*

- - e)

### Oscillatory motion calculus quiz-v2s1[edit]

1. If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the acceleration?

- ___ a)
*a(t) = +63sin(3t-π/6)*

- ___ b)
*a(t) = +21sin(3t-π/6)*

- ___ c)
*a(t) = -21sin(3t-π/6)*

- ___ d)
*a(t) = -63sin(3t-π/6)*

- ___ e)
*a(t) = -21cos(3t-π/6)*

2. If a particle's position is given by *x(t) = 5cos(4t-π/6)*, what is the velocity?

- ___ a)
*v(t) = -20sin(4t-π/6)*

- ___ b)
*v(t) = 5sin(4t-π/6)*

- ___ c)
*v(t) = 20cos(4t-π/6)*

- ___ d)
*v(t) = -20cos(4t-π/6)*

- ___ e)
*v(t) = 20sin(4t-π/6)*

3. If a particle's position is given by *x(t) = 5sin(4t-π/6)*, what is the acceleration?

- ___ a)
*a(t) = -80sin(4t-π/6)*

- ___ b)
*a(t) = +20sin(4t-π/6)*

- ___ c)
*a(t) = -100sin(4t-π/6)*

- ___ d)
*a(t) = +80sin(4t-π/6)*

- ___ e)
*a(t) = -100cos(4t-π/6)*

4. If a particle's position is given by *x(t) = 7cos(3t-π/6)*, what is the velocity?

- ___ a)
*v(t) = 7sin(3t-π/6)*

- ___ b)
*v(t) = -21sin(3t-π/6)*

- ___ c)
*v(t) = 21sin(3t-π/6)*

- ___ d)
*v(t) = 21cos(3t-π/6)*

- ___ e)
*v(t) = -21cos(3t-π/6)*

5. If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the velocity?

- ___ a)
*v(t) = -21sin(3t-π/6)*

- ___ b)
*v(t) = 21sin(3t-π/6)*

- ___ c)
*v(t) = 21cos(3t-π/6)*

- ___ d)
*v(t) = 7cos(3t-π/6)*

- ___ e)
*v(t) = -21cos(3t-π/6)*

6. If a particle's position is given by *x(t) = 5sin(4t-π/6)*, what is the velocity?

- ___ a)
*v(t) = -20cos(4t-π/6)*

- ___ b)
*v(t) = 20sin(4t-π/6)*

- ___ c)
*v(t) = 5cos(4t-π/6)*

- ___ d)
*v(t) = 20cos(4t-π/6)*

- ___ e)
*v(t) = -20sin(4t-π/6)*

#### Key to Oscillatory motion calculus quiz-v2s1[edit]

1. If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the acceleration?

- - a)
*a(t) = +63sin(3t-π/6)*

- - a)

- - b)
*a(t) = +21sin(3t-π/6)*

- - b)

- - c)
*a(t) = -21sin(3t-π/6)*

- - c)

- + d)
*a(t) = -63sin(3t-π/6)*

- + d)

- - e)
*a(t) = -21cos(3t-π/6)*

- - e)

2. If a particle's position is given by *x(t) = 5cos(4t-π/6)*, what is the velocity?

- + a)
*v(t) = -20sin(4t-π/6)*

- + a)

- - b)
*v(t) = 5sin(4t-π/6)*

- - b)

- - c)
*v(t) = 20cos(4t-π/6)*

- - c)

- - d)
*v(t) = -20cos(4t-π/6)*

- - d)

- - e)
*v(t) = 20sin(4t-π/6)*

- - e)

3. If a particle's position is given by *x(t) = 5sin(4t-π/6)*, what is the acceleration?

- + a)
*a(t) = -80sin(4t-π/6)*

- + a)

- - b)
*a(t) = +20sin(4t-π/6)*

- - b)

- - c)
*a(t) = -100sin(4t-π/6)*

- - c)

- - d)
*a(t) = +80sin(4t-π/6)*

- - d)

- - e)
*a(t) = -100cos(4t-π/6)*

- - e)

4. If a particle's position is given by *x(t) = 7cos(3t-π/6)*, what is the velocity?

- - a)
*v(t) = 7sin(3t-π/6)*

- - a)

- + b)
*v(t) = -21sin(3t-π/6)*

- + b)

- - c)
*v(t) = 21sin(3t-π/6)*

- - c)

- - d)
*v(t) = 21cos(3t-π/6)*

- - d)

- - e)
*v(t) = -21cos(3t-π/6)*

- - e)

5. If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the velocity?

- - a)
*v(t) = -21sin(3t-π/6)*

- - a)

- - b)
*v(t) = 21sin(3t-π/6)*

- - b)

- + c)
*v(t) = 21cos(3t-π/6)*

- + c)

- - d)
*v(t) = 7cos(3t-π/6)*

- - d)

- - e)
*v(t) = -21cos(3t-π/6)*

- - e)

6. If a particle's position is given by *x(t) = 5sin(4t-π/6)*, what is the velocity?

- - a)
*v(t) = -20cos(4t-π/6)*

- - a)

- - b)
*v(t) = 20sin(4t-π/6)*

- - b)

- - c)
*v(t) = 5cos(4t-π/6)*

- - c)

- + d)
*v(t) = 20cos(4t-π/6)*

- + d)

- - e)
*v(t) = -20sin(4t-π/6)*

- - e)

### Oscillatory motion calculus quiz-v1s2[edit]

1. If a particle's position is given by *x(t) = 5sin(4t-π/6)*, what is the velocity?

- ___ a)
*v(t) = 5cos(4t-π/6)*

- ___ b)
*v(t) = -20cos(4t-π/6)*

- ___ c)
*v(t) = -20sin(4t-π/6)*

- ___ d)
*v(t) = 20sin(4t-π/6)*

- ___ e)
*v(t) = 20cos(4t-π/6)*

2. If a particle's position is given by *x(t) = 5sin(4t-π/6)*, what is the acceleration?

- ___ a)
*a(t) = +20sin(4t-π/6)*

- ___ b)
*a(t) = -80sin(4t-π/6)*

- ___ c)
*a(t) = +80sin(4t-π/6)*

- ___ d)
*a(t) = -100cos(4t-π/6)*

- ___ e)
*a(t) = -100sin(4t-π/6)*

3. If a particle's position is given by *x(t) = 7cos(3t-π/6)*, what is the velocity?

- ___ a)
*v(t) = -21cos(3t-π/6)*

- ___ b)
*v(t) = 7sin(3t-π/6)*

- ___ c)
*v(t) = 21sin(3t-π/6)*

- ___ d)
*v(t) = -21sin(3t-π/6)*

- ___ e)
*v(t) = 21cos(3t-π/6)*

4. If a particle's position is given by *x(t) = 5cos(4t-π/6)*, what is the velocity?

- ___ a)
*v(t) = 20sin(4t-π/6)*

- ___ b)
*v(t) = -20sin(4t-π/6)*

- ___ c)
*v(t) = 5sin(4t-π/6)*

- ___ d)
*v(t) = 20cos(4t-π/6)*

- ___ e)
*v(t) = -20cos(4t-π/6)*

5. If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the acceleration?

- ___ a)
*a(t) = -63sin(3t-π/6)*

- ___ b)
*a(t) = +21sin(3t-π/6)*

- ___ c)
*a(t) = -21sin(3t-π/6)*

- ___ d)
*a(t) = +63sin(3t-π/6)*

- ___ e)
*a(t) = -21cos(3t-π/6)*

6. If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the velocity?

- ___ a)
*v(t) = 21sin(3t-π/6)*

- ___ b)
*v(t) = -21sin(3t-π/6)*

- ___ c)
*v(t) = 7cos(3t-π/6)*

- ___ d)
*v(t) = 21cos(3t-π/6)*

- ___ e)
*v(t) = -21cos(3t-π/6)*

#### Key to Oscillatory motion calculus quiz-v1s2[edit]

1. If a particle's position is given by *x(t) = 5sin(4t-π/6)*, what is the velocity?

- - a)
*v(t) = 5cos(4t-π/6)*

- - a)

- - b)
*v(t) = -20cos(4t-π/6)*

- - b)

- - c)
*v(t) = -20sin(4t-π/6)*

- - c)

- - d)
*v(t) = 20sin(4t-π/6)*

- - d)

- + e)
*v(t) = 20cos(4t-π/6)*

- + e)

2. If a particle's position is given by *x(t) = 5sin(4t-π/6)*, what is the acceleration?

- - a)
*a(t) = +20sin(4t-π/6)*

- - a)

- + b)
*a(t) = -80sin(4t-π/6)*

- + b)

- - c)
*a(t) = +80sin(4t-π/6)*

- - c)

- - d)
*a(t) = -100cos(4t-π/6)*

- - d)

- - e)
*a(t) = -100sin(4t-π/6)*

- - e)

3. If a particle's position is given by *x(t) = 7cos(3t-π/6)*, what is the velocity?

- - a)
*v(t) = -21cos(3t-π/6)*

- - a)

- - b)
*v(t) = 7sin(3t-π/6)*

- - b)

- - c)
*v(t) = 21sin(3t-π/6)*

- - c)

- + d)
*v(t) = -21sin(3t-π/6)*

- + d)

- - e)
*v(t) = 21cos(3t-π/6)*

- - e)

4. If a particle's position is given by *x(t) = 5cos(4t-π/6)*, what is the velocity?

- - a)
*v(t) = 20sin(4t-π/6)*

- - a)

- + b)
*v(t) = -20sin(4t-π/6)*

- + b)

- - c)
*v(t) = 5sin(4t-π/6)*

- - c)

- - d)
*v(t) = 20cos(4t-π/6)*

- - d)

- - e)
*v(t) = -20cos(4t-π/6)*

- - e)

5. If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the acceleration?

- + a)
*a(t) = -63sin(3t-π/6)*

- + a)

- - b)
*a(t) = +21sin(3t-π/6)*

- - b)

- - c)
*a(t) = -21sin(3t-π/6)*

- - c)

- - d)
*a(t) = +63sin(3t-π/6)*

- - d)

- - e)
*a(t) = -21cos(3t-π/6)*

- - e)

6. If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the velocity?

- - a)
*v(t) = 21sin(3t-π/6)*

- - a)

- - b)
*v(t) = -21sin(3t-π/6)*

- - b)

- - c)
*v(t) = 7cos(3t-π/6)*

- - c)

- + d)
*v(t) = 21cos(3t-π/6)*

- + d)

- - e)
*v(t) = -21cos(3t-π/6)*

- - e)

### Oscillatory motion calculus quiz-v2s2[edit]

1. If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the acceleration?

- ___ a)
*a(t) = +21sin(3t-π/6)*

- ___ b)
*a(t) = +63sin(3t-π/6)*

- ___ c)
*a(t) = -63sin(3t-π/6)*

- ___ d)
*a(t) = -21sin(3t-π/6)*

- ___ e)
*a(t) = -21cos(3t-π/6)*

2. If a particle's position is given by *x(t) = 5cos(4t-π/6)*, what is the velocity?

- ___ a)
*v(t) = 20sin(4t-π/6)*

- ___ b)
*v(t) = 5sin(4t-π/6)*

- ___ c)
*v(t) = -20sin(4t-π/6)*

- ___ d)
*v(t) = -20cos(4t-π/6)*

- ___ e)
*v(t) = 20cos(4t-π/6)*

3. If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the velocity?

- ___ a)
*v(t) = 7cos(3t-π/6)*

- ___ b)
*v(t) = 21cos(3t-π/6)*

- ___ c)
*v(t) = -21sin(3t-π/6)*

- ___ d)
*v(t) = -21cos(3t-π/6)*

- ___ e)
*v(t) = 21sin(3t-π/6)*

4. If a particle's position is given by *x(t) = 5sin(4t-π/6)*, what is the acceleration?

- ___ a)
*a(t) = -80sin(4t-π/6)*

- ___ b)
*a(t) = -100sin(4t-π/6)*

- ___ c)
*a(t) = +20sin(4t-π/6)*

- ___ d)
*a(t) = -100cos(4t-π/6)*

- ___ e)
*a(t) = +80sin(4t-π/6)*

5. If a particle's position is given by *x(t) = 7cos(3t-π/6)*, what is the velocity?

- ___ a)
*v(t) = -21sin(3t-π/6)*

- ___ b)
*v(t) = 21cos(3t-π/6)*

- ___ c)
*v(t) = -21cos(3t-π/6)*

- ___ d)
*v(t) = 21sin(3t-π/6)*

- ___ e)
*v(t) = 7sin(3t-π/6)*

6. If a particle's position is given by *x(t) = 5sin(4t-π/6)*, what is the velocity?

- ___ a)
*v(t) = 20cos(4t-π/6)*

- ___ b)
*v(t) = 5cos(4t-π/6)*

- ___ c)
*v(t) = 20sin(4t-π/6)*

- ___ d)
*v(t) = -20sin(4t-π/6)*

- ___ e)
*v(t) = -20cos(4t-π/6)*

#### Key to Oscillatory motion calculus quiz-v2s2[edit]

1. If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the acceleration?

- - a)
*a(t) = +21sin(3t-π/6)*

- - a)

- - b)
*a(t) = +63sin(3t-π/6)*

- - b)

- + c)
*a(t) = -63sin(3t-π/6)*

- + c)

- - d)
*a(t) = -21sin(3t-π/6)*

- - d)

- - e)
*a(t) = -21cos(3t-π/6)*

- - e)

2. If a particle's position is given by *x(t) = 5cos(4t-π/6)*, what is the velocity?

- - a)
*v(t) = 20sin(4t-π/6)*

- - a)

- - b)
*v(t) = 5sin(4t-π/6)*

- - b)

- + c)
*v(t) = -20sin(4t-π/6)*

- + c)

- - d)
*v(t) = -20cos(4t-π/6)*

- - d)

- - e)
*v(t) = 20cos(4t-π/6)*

- - e)

3. If a particle's position is given by *x(t) = 7sin(3t-π/6)*, what is the velocity?

- - a)
*v(t) = 7cos(3t-π/6)*

- - a)

- + b)
*v(t) = 21cos(3t-π/6)*

- + b)

- - c)
*v(t) = -21sin(3t-π/6)*

- - c)

- - d)
*v(t) = -21cos(3t-π/6)*

- - d)

- - e)
*v(t) = 21sin(3t-π/6)*

- - e)

4. If a particle's position is given by *x(t) = 5sin(4t-π/6)*, what is the acceleration?

- + a)
*a(t) = -80sin(4t-π/6)*

- + a)

- - b)
*a(t) = -100sin(4t-π/6)*

- - b)

- - c)
*a(t) = +20sin(4t-π/6)*

- - c)

- - d)
*a(t) = -100cos(4t-π/6)*

- - d)

- - e)
*a(t) = +80sin(4t-π/6)*

- - e)

5. If a particle's position is given by *x(t) = 7cos(3t-π/6)*, what is the velocity?

- + a)
*v(t) = -21sin(3t-π/6)*

- + a)

- - b)
*v(t) = 21cos(3t-π/6)*

- - b)

- - c)
*v(t) = -21cos(3t-π/6)*

- - c)

- - d)
*v(t) = 21sin(3t-π/6)*

- - d)

- - e)
*v(t) = 7sin(3t-π/6)*

- - e)

6. If a particle's position is given by *x(t) = 5sin(4t-π/6)*, what is the velocity?

- + a)
*v(t) = 20cos(4t-π/6)*

- + a)

- - b)
*v(t) = 5cos(4t-π/6)*

- - b)

- - c)
*v(t) = 20sin(4t-π/6)*

- - c)

- - d)
*v(t) = -20sin(4t-π/6)*

- - d)

- - e)
*v(t) = -20cos(4t-π/6)*

- - e)

- Attribution (for quiz questions) under CC-by-SA license

- https://en.wikiversity.org/wiki/Physics_equations/16-Oscillatory_Motion_and_Waves/Q:CALCULUS
- Study guide

- https://en.wikiversity.org/wiki/Physics_equations