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

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Oscillatory motion calculus quiz

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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.

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Study guide links reading materials and/or relevant equations.

Oscillatory motion calculus quiz-v1s1

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

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)

Oscillatory motion calculus quiz-v2s1

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

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)

Oscillatory motion calculus quiz-v1s2

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

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)

Oscillatory motion calculus quiz-v2s2

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

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)

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