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# CALC A car’s velocity as a function of time is given by ISBN: 9780321675460 31

## Solution for problem 17E Chapter 2

University Physics | 13th Edition

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Problem 17E

CALC? A car’s velocity as a function of time is given by vx(t) = ? + ?t2, where ? = 3.00 m/s and ? = 0.100 m/s3. (a) Calculate the average acceleration for the time interval t = 0 to t = 5.00 s. (b) Calculate the instantaneous acceleration for t = 0 and t = 5.00 s. (c) Draw vx-t and ax-t graphs for the car’s motion between t = 0 and t = 5.00 s.

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Solution 17E The velocity as a function of time is given as, 2 V (t) = + t --------------------(1) When = 3 m/sand = 0.100 m/s , 3 a) Average acceleration for the time interval of t=0 to t= 5s is, V (5)V (00 a = 50 Now, V (5) = 3 + 0.100 × 5 = 3 + 0.100 × 25 = 3 + 2.5 = 5.5 m/s 2 V (0) = 3 + 0.100 × 0 = 3 m/s. a = V (5)V (0= 5.53= 2.5 = 0.5 m/s . 50 50 5 b) As we know acceleration is the time derivative of velocity, a = dV = d( + t ) = 2t. dt dt This is the instantaneous acceleration as a function of time. So, at t = 0, the instantaneous acceleration will be, a(0) = 2t = 2 × 0.100 × 0 = 0 m/s .2 And at t = 5, the instantaneous acceleration will be, a(5) = 2t = 2 × 0.100 × 5 = 1 m/s . 2

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##### ISBN: 9780321675460

Since the solution to 17E from 2 chapter was answered, more than 1066 students have viewed the full step-by-step answer. This full solution covers the following key subjects: acceleration, Car, calculate, given, average. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The answer to “CALC? A car’s velocity as a function of time is given by vx(t) = ? + ?t2, where ? = 3.00 m/s and ? = 0.100 m/s3. (a) Calculate the average acceleration for the time interval t = 0 to t = 5.00 s. (b) Calculate the instantaneous acceleration for t = 0 and t = 5.00 s. (c) Draw vx-t and ax-t graphs for the car’s motion between t = 0 and t = 5.00 s.” is broken down into a number of easy to follow steps, and 77 words. University Physics was written by and is associated to the ISBN: 9780321675460. The full step-by-step solution to problem: 17E from chapter: 2 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This textbook survival guide was created for the textbook: University Physics, edition: 13.

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CALC A car’s velocity as a function of time is given by