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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
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### 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)