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# CALC The position of a squirrel running in a park is given ISBN: 9780321675460 31

## Solution for problem 4E Chapter 3

University Physics | 13th Edition

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Problem 4E

CALC? The position of a squirrel running in a park is given by (a) What are vx(t) and vy(t), the x- and y-components of the velocity of the squirrel, as functions of time? (b) At t = 5.00 s, how far is the squirrel from its initial position? (c) At t = 5.00 s, what are the magnitude and direction of the squirrel’s velocity?

Step-by-Step Solution:

Solution 4E Step 1 : In this question, we need to find The x and y components of velocity of the squirrel ,that is v (t) axd v (t) y Distance travelled by the squirrel from its initial position at time t=5s The magnitude and direction of velocity of squirrel at time t= 5 s Step 2 : Let us consider the condition given r = [(0.280m/s)t + (0.0360 m/s )t ] i + (0.0190 m/s ) t j 3 dr We know that v = dt So we shall differentiate the above condition with respect to time dx 2 dt = (0.280 m/s) + 2(0.0360 m/s )t dx = 0.280 m/s + 0.072 m/s t 2 dt Similarly we have dy = 3(0.0190 m/s )t 2 dt Hence we have X-component as dx = 0.280 m/s + 0.072 m/s t 2 dt dy 3 2 Y-component as dt = 3(0.0190 m/s )t Step 3 : To find distance travelled at time t=5s r = [(0.280m/s)t + (0.0360 m/s )t ] i + (0.0190 m/s ) t j 2 r(x) = [(0.280m/s) × 5 + (0.0360 m/s )5 ] i r(x) = [(0.280m/s) × 5 + (0.0360 m/s )5 ] i r(x) = 1.4 m/s + 0.9 m/s = 2.3 m Similarly for y component 3 3 r(y) = (0.0190 m/s ) t j r(y) = (0.0190 m/s ) × 5 j 3 r(y) = (0.0190 m/s ) × 125 j 3 r(y) = 2.375 m/s We can get initial distance as 2 2 | | r(x) + r(y) Substituting the values 2 2 | | 2.3 m + 2.375 m | | 10.930 m = 3.3 m Hence the distance travelled by squirrel from initial position is 3.3 m

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##### ISBN: 9780321675460

This textbook survival guide was created for the textbook: University Physics, edition: 13. Since the solution to 4E from 3 chapter was answered, more than 348 students have viewed the full step-by-step answer. University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: squirrel, velocity, position, its, functions. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The answer to “CALC? The position of a squirrel running in a park is given by (a) What are vx(t) and vy(t), the x- and y-components of the velocity of the squirrel, as functions of time? (b) At t = 5.00 s, how far is the squirrel from its initial position? (c) At t = 5.00 s, what are the magnitude and direction of the squirrel’s velocity?” is broken down into a number of easy to follow steps, and 64 words. The full step-by-step solution to problem: 4E from chapter: 3 was answered by , our top Physics solution expert on 05/06/17, 06:07PM.

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