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.
 * 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
1. If a particle's position is given by x(t) = 5sin(4t-&pi;/6), what is the acceleration?
 * ___ a) a(t) = -80sin(4t-&pi;/6)


 * ___ b) a(t) = -100sin(4t-&pi;/6)


 * ___ c) a(t) = +80sin(4t-&pi;/6)


 * ___ d) a(t) = -100cos(4t-&pi;/6)


 * ___ e) a(t) = +20sin(4t-&pi;/6)

2. If a particle's position is given by x(t) = 7cos(3t-&pi;/6), what is the velocity?
 * ___ a) v(t) = -21cos(3t-&pi;/6)


 * ___ b) v(t) = 21cos(3t-&pi;/6)


 * ___ c) v(t) = 7sin(3t-&pi;/6)


 * ___ d) v(t) = 21sin(3t-&pi;/6)


 * ___ e) v(t) = -21sin(3t-&pi;/6)

3. If a particle's position is given by x(t) = 5sin(4t-&pi;/6), what is the velocity?
 * ___ a) v(t) = -20sin(4t-&pi;/6)


 * ___ b) v(t) = 20sin(4t-&pi;/6)


 * ___ c) v(t) = -20cos(4t-&pi;/6)


 * ___ d) v(t) = 20cos(4t-&pi;/6)


 * ___ e) v(t) = 5cos(4t-&pi;/6)

4. If a particle's position is given by x(t) = 7sin(3t-&pi;/6), what is the velocity?
 * ___ a) v(t) = -21cos(3t-&pi;/6)


 * ___ b) v(t) = 7cos(3t-&pi;/6)


 * ___ c) v(t) = -21sin(3t-&pi;/6)


 * ___ d) v(t) = 21cos(3t-&pi;/6)


 * ___ e) v(t) = 21sin(3t-&pi;/6)

5. If a particle's position is given by x(t) = 5cos(4t-&pi;/6), what is the velocity?
 * ___ a) v(t) = 20sin(4t-&pi;/6)


 * ___ b) v(t) = 20cos(4t-&pi;/6)


 * ___ c) v(t) = -20sin(4t-&pi;/6)


 * ___ d) v(t) = -20cos(4t-&pi;/6)


 * ___ e) v(t) = 5sin(4t-&pi;/6)

6. If a particle's position is given by x(t) = 7sin(3t-&pi;/6), what is the acceleration?
 * ___ a) a(t) = -63sin(3t-&pi;/6)


 * ___ b) a(t) = +63sin(3t-&pi;/6)


 * ___ c) a(t) = -21cos(3t-&pi;/6)


 * ___ d) a(t) = -21sin(3t-&pi;/6)


 * ___ e) a(t) = +21sin(3t-&pi;/6)

Key to Oscillatory motion calculus quiz-v1s1
1. If a particle's position is given by x(t) = 5sin(4t-&pi;/6), what is the acceleration?
 * + a) a(t) = -80sin(4t-&pi;/6)


 * - b) a(t) = -100sin(4t-&pi;/6)


 * - c) a(t) = +80sin(4t-&pi;/6)


 * - d) a(t) = -100cos(4t-&pi;/6)


 * - e) a(t) = +20sin(4t-&pi;/6)

2. If a particle's position is given by x(t) = 7cos(3t-&pi;/6), what is the velocity?
 * - a) v(t) = -21cos(3t-&pi;/6)


 * - b) v(t) = 21cos(3t-&pi;/6)


 * - c) v(t) = 7sin(3t-&pi;/6)


 * - d) v(t) = 21sin(3t-&pi;/6)


 * + e) v(t) = -21sin(3t-&pi;/6)

3. If a particle's position is given by x(t) = 5sin(4t-&pi;/6), what is the velocity?
 * - a) v(t) = -20sin(4t-&pi;/6)


 * - b) v(t) = 20sin(4t-&pi;/6)


 * - c) v(t) = -20cos(4t-&pi;/6)


 * + d) v(t) = 20cos(4t-&pi;/6)


 * - e) v(t) = 5cos(4t-&pi;/6)

4. If a particle's position is given by x(t) = 7sin(3t-&pi;/6), what is the velocity?
 * - a) v(t) = -21cos(3t-&pi;/6)


 * - b) v(t) = 7cos(3t-&pi;/6)


 * - c) v(t) = -21sin(3t-&pi;/6)


 * + d) v(t) = 21cos(3t-&pi;/6)


 * - e) v(t) = 21sin(3t-&pi;/6)

5. If a particle's position is given by x(t) = 5cos(4t-&pi;/6), what is the velocity?
 * - a) v(t) = 20sin(4t-&pi;/6)


 * - b) v(t) = 20cos(4t-&pi;/6)


 * + c) v(t) = -20sin(4t-&pi;/6)


 * - d) v(t) = -20cos(4t-&pi;/6)


 * - e) v(t) = 5sin(4t-&pi;/6)

6. If a particle's position is given by x(t) = 7sin(3t-&pi;/6), what is the acceleration?
 * + a) a(t) = -63sin(3t-&pi;/6)


 * - b) a(t) = +63sin(3t-&pi;/6)


 * - c) a(t) = -21cos(3t-&pi;/6)


 * - d) a(t) = -21sin(3t-&pi;/6)


 * - e) a(t) = +21sin(3t-&pi;/6)

Oscillatory motion calculus quiz-v2s1
1. If a particle's position is given by x(t) = 7sin(3t-&pi;/6), what is the acceleration?
 * ___ a) a(t) = +63sin(3t-&pi;/6)


 * ___ b) a(t) = +21sin(3t-&pi;/6)


 * ___ c) a(t) = -21sin(3t-&pi;/6)


 * ___ d) a(t) = -63sin(3t-&pi;/6)


 * ___ e) a(t) = -21cos(3t-&pi;/6)

2. If a particle's position is given by x(t) = 5cos(4t-&pi;/6), what is the velocity?
 * ___ a) v(t) = -20sin(4t-&pi;/6)


 * ___ b) v(t) = 5sin(4t-&pi;/6)


 * ___ c) v(t) = 20cos(4t-&pi;/6)


 * ___ d) v(t) = -20cos(4t-&pi;/6)


 * ___ e) v(t) = 20sin(4t-&pi;/6)

3. If a particle's position is given by x(t) = 5sin(4t-&pi;/6), what is the acceleration?
 * ___ a) a(t) = -80sin(4t-&pi;/6)


 * ___ b) a(t) = +20sin(4t-&pi;/6)


 * ___ c) a(t) = -100sin(4t-&pi;/6)


 * ___ d) a(t) = +80sin(4t-&pi;/6)


 * ___ e) a(t) = -100cos(4t-&pi;/6)

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


 * ___ b) v(t) = -21sin(3t-&pi;/6)


 * ___ c) v(t) = 21sin(3t-&pi;/6)


 * ___ d) v(t) = 21cos(3t-&pi;/6)


 * ___ e) v(t) = -21cos(3t-&pi;/6)

5. If a particle's position is given by x(t) = 7sin(3t-&pi;/6), what is the velocity?
 * ___ a) v(t) = -21sin(3t-&pi;/6)


 * ___ b) v(t) = 21sin(3t-&pi;/6)


 * ___ c) v(t) = 21cos(3t-&pi;/6)


 * ___ d) v(t) = 7cos(3t-&pi;/6)


 * ___ e) v(t) = -21cos(3t-&pi;/6)

6. If a particle's position is given by x(t) = 5sin(4t-&pi;/6), what is the velocity?
 * ___ a) v(t) = -20cos(4t-&pi;/6)


 * ___ b) v(t) = 20sin(4t-&pi;/6)


 * ___ c) v(t) = 5cos(4t-&pi;/6)


 * ___ d) v(t) = 20cos(4t-&pi;/6)


 * ___ e) v(t) = -20sin(4t-&pi;/6)

Key to Oscillatory motion calculus quiz-v2s1
1. If a particle's position is given by x(t) = 7sin(3t-&pi;/6), what is the acceleration?
 * - a) a(t) = +63sin(3t-&pi;/6)


 * - b) a(t) = +21sin(3t-&pi;/6)


 * - c) a(t) = -21sin(3t-&pi;/6)


 * + d) a(t) = -63sin(3t-&pi;/6)


 * - e) a(t) = -21cos(3t-&pi;/6)

2. If a particle's position is given by x(t) = 5cos(4t-&pi;/6), what is the velocity?
 * + a) v(t) = -20sin(4t-&pi;/6)


 * - b) v(t) = 5sin(4t-&pi;/6)


 * - c) v(t) = 20cos(4t-&pi;/6)


 * - d) v(t) = -20cos(4t-&pi;/6)


 * - e) v(t) = 20sin(4t-&pi;/6)

3. If a particle's position is given by x(t) = 5sin(4t-&pi;/6), what is the acceleration?
 * + a) a(t) = -80sin(4t-&pi;/6)


 * - b) a(t) = +20sin(4t-&pi;/6)


 * - c) a(t) = -100sin(4t-&pi;/6)


 * - d) a(t) = +80sin(4t-&pi;/6)


 * - e) a(t) = -100cos(4t-&pi;/6)

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


 * + b) v(t) = -21sin(3t-&pi;/6)


 * - c) v(t) = 21sin(3t-&pi;/6)


 * - d) v(t) = 21cos(3t-&pi;/6)


 * - e) v(t) = -21cos(3t-&pi;/6)

5. If a particle's position is given by x(t) = 7sin(3t-&pi;/6), what is the velocity?
 * - a) v(t) = -21sin(3t-&pi;/6)


 * - b) v(t) = 21sin(3t-&pi;/6)


 * + c) v(t) = 21cos(3t-&pi;/6)


 * - d) v(t) = 7cos(3t-&pi;/6)


 * - e) v(t) = -21cos(3t-&pi;/6)

6. If a particle's position is given by x(t) = 5sin(4t-&pi;/6), what is the velocity?
 * - a) v(t) = -20cos(4t-&pi;/6)


 * - b) v(t) = 20sin(4t-&pi;/6)


 * - c) v(t) = 5cos(4t-&pi;/6)


 * + d) v(t) = 20cos(4t-&pi;/6)


 * - e) v(t) = -20sin(4t-&pi;/6)

Oscillatory motion calculus quiz-v1s2
1. If a particle's position is given by x(t) = 5sin(4t-&pi;/6), what is the velocity?
 * ___ a) v(t) = 5cos(4t-&pi;/6)


 * ___ b) v(t) = -20cos(4t-&pi;/6)


 * ___ c) v(t) = -20sin(4t-&pi;/6)


 * ___ d) v(t) = 20sin(4t-&pi;/6)


 * ___ e) v(t) = 20cos(4t-&pi;/6)

2. If a particle's position is given by x(t) = 5sin(4t-&pi;/6), what is the acceleration?
 * ___ a) a(t) = +20sin(4t-&pi;/6)


 * ___ b) a(t) = -80sin(4t-&pi;/6)


 * ___ c) a(t) = +80sin(4t-&pi;/6)


 * ___ d) a(t) = -100cos(4t-&pi;/6)


 * ___ e) a(t) = -100sin(4t-&pi;/6)

3. If a particle's position is given by x(t) = 7cos(3t-&pi;/6), what is the velocity?
 * ___ a) v(t) = -21cos(3t-&pi;/6)


 * ___ b) v(t) = 7sin(3t-&pi;/6)


 * ___ c) v(t) = 21sin(3t-&pi;/6)


 * ___ d) v(t) = -21sin(3t-&pi;/6)


 * ___ e) v(t) = 21cos(3t-&pi;/6)

4. If a particle's position is given by x(t) = 5cos(4t-&pi;/6), what is the velocity?
 * ___ a) v(t) = 20sin(4t-&pi;/6)


 * ___ b) v(t) = -20sin(4t-&pi;/6)


 * ___ c) v(t) = 5sin(4t-&pi;/6)


 * ___ d) v(t) = 20cos(4t-&pi;/6)


 * ___ e) v(t) = -20cos(4t-&pi;/6)

5. If a particle's position is given by x(t) = 7sin(3t-&pi;/6), what is the acceleration?
 * ___ a) a(t) = -63sin(3t-&pi;/6)


 * ___ b) a(t) = +21sin(3t-&pi;/6)


 * ___ c) a(t) = -21sin(3t-&pi;/6)


 * ___ d) a(t) = +63sin(3t-&pi;/6)


 * ___ e) a(t) = -21cos(3t-&pi;/6)

6. If a particle's position is given by x(t) = 7sin(3t-&pi;/6), what is the velocity?
 * ___ a) v(t) = 21sin(3t-&pi;/6)


 * ___ b) v(t) = -21sin(3t-&pi;/6)


 * ___ c) v(t) = 7cos(3t-&pi;/6)


 * ___ d) v(t) = 21cos(3t-&pi;/6)


 * ___ e) v(t) = -21cos(3t-&pi;/6)

Key to Oscillatory motion calculus quiz-v1s2
1. If a particle's position is given by x(t) = 5sin(4t-&pi;/6), what is the velocity?
 * - a) v(t) = 5cos(4t-&pi;/6)


 * - b) v(t) = -20cos(4t-&pi;/6)


 * - c) v(t) = -20sin(4t-&pi;/6)


 * - d) v(t) = 20sin(4t-&pi;/6)


 * + e) v(t) = 20cos(4t-&pi;/6)

2. If a particle's position is given by x(t) = 5sin(4t-&pi;/6), what is the acceleration?
 * - a) a(t) = +20sin(4t-&pi;/6)


 * + b) a(t) = -80sin(4t-&pi;/6)


 * - c) a(t) = +80sin(4t-&pi;/6)


 * - d) a(t) = -100cos(4t-&pi;/6)


 * - e) a(t) = -100sin(4t-&pi;/6)

3. If a particle's position is given by x(t) = 7cos(3t-&pi;/6), what is the velocity?
 * - a) v(t) = -21cos(3t-&pi;/6)


 * - b) v(t) = 7sin(3t-&pi;/6)


 * - c) v(t) = 21sin(3t-&pi;/6)


 * + d) v(t) = -21sin(3t-&pi;/6)


 * - e) v(t) = 21cos(3t-&pi;/6)

4. If a particle's position is given by x(t) = 5cos(4t-&pi;/6), what is the velocity?
 * - a) v(t) = 20sin(4t-&pi;/6)


 * + b) v(t) = -20sin(4t-&pi;/6)


 * - c) v(t) = 5sin(4t-&pi;/6)


 * - d) v(t) = 20cos(4t-&pi;/6)


 * - e) v(t) = -20cos(4t-&pi;/6)

5. If a particle's position is given by x(t) = 7sin(3t-&pi;/6), what is the acceleration?
 * + a) a(t) = -63sin(3t-&pi;/6)


 * - b) a(t) = +21sin(3t-&pi;/6)


 * - c) a(t) = -21sin(3t-&pi;/6)


 * - d) a(t) = +63sin(3t-&pi;/6)


 * - e) a(t) = -21cos(3t-&pi;/6)

6. If a particle's position is given by x(t) = 7sin(3t-&pi;/6), what is the velocity?
 * - a) v(t) = 21sin(3t-&pi;/6)


 * - b) v(t) = -21sin(3t-&pi;/6)


 * - c) v(t) = 7cos(3t-&pi;/6)


 * + d) v(t) = 21cos(3t-&pi;/6)


 * - e) v(t) = -21cos(3t-&pi;/6)

Oscillatory motion calculus quiz-v2s2
1. If a particle's position is given by x(t) = 7sin(3t-&pi;/6), what is the acceleration?
 * ___ a) a(t) = +21sin(3t-&pi;/6)


 * ___ b) a(t) = +63sin(3t-&pi;/6)


 * ___ c) a(t) = -63sin(3t-&pi;/6)


 * ___ d) a(t) = -21sin(3t-&pi;/6)


 * ___ e) a(t) = -21cos(3t-&pi;/6)

2. If a particle's position is given by x(t) = 5cos(4t-&pi;/6), what is the velocity?
 * ___ a) v(t) = 20sin(4t-&pi;/6)


 * ___ b) v(t) = 5sin(4t-&pi;/6)


 * ___ c) v(t) = -20sin(4t-&pi;/6)


 * ___ d) v(t) = -20cos(4t-&pi;/6)


 * ___ e) v(t) = 20cos(4t-&pi;/6)

3. If a particle's position is given by x(t) = 7sin(3t-&pi;/6), what is the velocity?
 * ___ a) v(t) = 7cos(3t-&pi;/6)


 * ___ b) v(t) = 21cos(3t-&pi;/6)


 * ___ c) v(t) = -21sin(3t-&pi;/6)


 * ___ d) v(t) = -21cos(3t-&pi;/6)


 * ___ e) v(t) = 21sin(3t-&pi;/6)

4. If a particle's position is given by x(t) = 5sin(4t-&pi;/6), what is the acceleration?
 * ___ a) a(t) = -80sin(4t-&pi;/6)


 * ___ b) a(t) = -100sin(4t-&pi;/6)


 * ___ c) a(t) = +20sin(4t-&pi;/6)


 * ___ d) a(t) = -100cos(4t-&pi;/6)


 * ___ e) a(t) = +80sin(4t-&pi;/6)

5. If a particle's position is given by x(t) = 7cos(3t-&pi;/6), what is the velocity?
 * ___ a) v(t) = -21sin(3t-&pi;/6)


 * ___ b) v(t) = 21cos(3t-&pi;/6)


 * ___ c) v(t) = -21cos(3t-&pi;/6)


 * ___ d) v(t) = 21sin(3t-&pi;/6)


 * ___ e) v(t) = 7sin(3t-&pi;/6)

6. If a particle's position is given by x(t) = 5sin(4t-&pi;/6), what is the velocity?
 * ___ a) v(t) = 20cos(4t-&pi;/6)


 * ___ b) v(t) = 5cos(4t-&pi;/6)


 * ___ c) v(t) = 20sin(4t-&pi;/6)


 * ___ d) v(t) = -20sin(4t-&pi;/6)


 * ___ e) v(t) = -20cos(4t-&pi;/6)

Key to Oscillatory motion calculus quiz-v2s2
1. If a particle's position is given by x(t) = 7sin(3t-&pi;/6), what is the acceleration?
 * - a) a(t) = +21sin(3t-&pi;/6)


 * - b) a(t) = +63sin(3t-&pi;/6)


 * + c) a(t) = -63sin(3t-&pi;/6)


 * - d) a(t) = -21sin(3t-&pi;/6)


 * - e) a(t) = -21cos(3t-&pi;/6)

2. If a particle's position is given by x(t) = 5cos(4t-&pi;/6), what is the velocity?
 * - a) v(t) = 20sin(4t-&pi;/6)


 * - b) v(t) = 5sin(4t-&pi;/6)


 * + c) v(t) = -20sin(4t-&pi;/6)


 * - d) v(t) = -20cos(4t-&pi;/6)


 * - e) v(t) = 20cos(4t-&pi;/6)

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


 * + b) v(t) = 21cos(3t-&pi;/6)


 * - c) v(t) = -21sin(3t-&pi;/6)


 * - d) v(t) = -21cos(3t-&pi;/6)


 * - e) v(t) = 21sin(3t-&pi;/6)

4. If a particle's position is given by x(t) = 5sin(4t-&pi;/6), what is the acceleration?
 * + a) a(t) = -80sin(4t-&pi;/6)


 * - b) a(t) = -100sin(4t-&pi;/6)


 * - c) a(t) = +20sin(4t-&pi;/6)


 * - d) a(t) = -100cos(4t-&pi;/6)


 * - e) a(t) = +80sin(4t-&pi;/6)

5. If a particle's position is given by x(t) = 7cos(3t-&pi;/6), what is the velocity?
 * + a) v(t) = -21sin(3t-&pi;/6)


 * - b) v(t) = 21cos(3t-&pi;/6)


 * - c) v(t) = -21cos(3t-&pi;/6)


 * - d) v(t) = 21sin(3t-&pi;/6)


 * - e) v(t) = 7sin(3t-&pi;/6)

6. If a particle's position is given by x(t) = 5sin(4t-&pi;/6), what is the velocity?
 * + a) v(t) = 20cos(4t-&pi;/6)


 * - b) v(t) = 5cos(4t-&pi;/6)


 * - c) v(t) = 20sin(4t-&pi;/6)


 * - d) v(t) = -20sin(4t-&pi;/6)


 * - e) v(t) = -20cos(4t-&pi;/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