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# Motion along a line Two objects move along the x -axis ISBN: 9780321570567 2

## Solution for problem 66RE Chapter 4

Calculus: Early Transcendentals | 1st Edition

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Problem 66RE

Motion along a line? Two objects move along? the x ? -axis with position functions x 1t) = 2sin tand x 2t) = sin (t ? 2. At what times on the interva? l [0, 2??]are the objects closest to each other and farthest from each other?

Step-by-Step Solution:

Solution Step 1 In this problem it is given that two objects move along the x-axis with position functions x 1t) = 2sin tand x 2t) = sin (t 2). we have to find at what times on the interval [0,2]does the objects are closer to each other and farther to each other. Step 2 We have x (1) = 2sin tand x (t2 = sin (t )2 In order to find the time of closest point we have to equate the position functions of two objects. x (t) = x (t) 1 2 2 sin t = sin (t ) 2 2 sin t = sin ( 2t) We know that sin(90 ) = cos that is sin( 2) = cos Thus we get 2 sin t = cos t cos t 2 tan t = 1 2 t = tan ( )1 2 1 1 Calculating the value of tan ( ) 2n calculator we get, o t = 26.56 o ut the given interval for t is [0, ]. Clearly t = 26.56 / [0,2] Thus the two objects will not come closer to each other in the given interval.

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##### ISBN: 9780321570567

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since the solution to 66RE from 4 chapter was answered, more than 283 students have viewed the full step-by-step answer. The answer to “Motion along a line? Two objects move along? the x ? -axis with position functions x 1t) = 2sin tand x 2t) = sin (t ? 2. At what times on the interva? l [0, 2??]are the objects closest to each other and farthest from each other?” is broken down into a number of easy to follow steps, and 47 words. The full step-by-step solution to problem: 66RE from chapter: 4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This full solution covers the following key subjects: along, sin, other, objects, motion. This expansive textbook survival guide covers 85 chapters, and 5218 solutions.

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