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

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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.
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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)
- 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[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)
- 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[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)
- 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[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)
- 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