# 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.
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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