a. Explanation Given: The position of the object at time t is given by: s ( t ) = 7 cos t ......(1) Formula used: d d x ( sin x ) = cos x d d x ( cos x ) = − sin x Calculations: The velocity of the object is equal to the rate of change of position with respect to time andis given by, v ( t ) = s ′ ( t ) = d d t [ 7 cos t ] = 7 d d t ( cos t< b. To determine To find: the time required to complete one oscillation. c. To determine To find: the distance between the highest point and the lowest point reached by the object.

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Chapter 3.4, Problem 57PS

To determine

To find:the velocity and acceleration of the object at time t .

To determine

To find: the time required to complete one oscillation.

To determine

To find: the distance between the highest point and the lowest point reached by the object.

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Chapter 3.4, Problem 56PS

Chapter 3.4, Problem 58PS

Chapter 3 Solutions

Student's Solution and Survival Manual for Calculus

Ch. 3.1 - Prob. 1PS Ch. 3.1 - Prob. 2PS Ch. 3.1 - Prob. 3PS Ch. 3.1 - Prob. 4PS Ch. 3.1 - Prob. 5PS Ch. 3.1 - Prob. 6PS Ch. 3.1 - Prob. 7PS Ch. 3.1 - Prob. 8PS Ch. 3.1 - Prob. 9PS Ch. 3.1 - Prob. 10PS

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the velocity and acceleration of the object at time t .

Solution Summary: The author calculates the velocity and acceleration of the object at time t.

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To find:the velocity and acceleration of the object at time t .

To find: the time required to complete one oscillation.

To find: the distance between the highest point and the lowest point reached by the object.

Want to see the full answer?

Chapter 3 Solutions