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# Solved: A particle moves according to a law of motion s fstd, t > 0, where t is measured ISBN: 9781305270336 484

## Solution for problem 4 Chapter 3.7

Single Variable Calculus: Early Transcendentals | 8th Edition

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Problem 4

A particle moves according to a law of motion s fstd, t > 0, where t is measured in seconds and s in feet. (a) Find the velocity at time t. (b) What is the velocity after 1 second? (c) When is the particle at rest? (d) When is the particle moving in the positive direction? (e) Find the total distance traveled during the first 6 seconds. (f) Draw a diagram like Figure 2 to illustrate the motion of the particle. (g) Find the acceleration at time t and after 1 second. (h) Graph the position, velocity, and acceleration functions for 0 < t < 6. (i) When is the particle speeding up? When is it slowing down? fstd t 2 e2t

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Dimensional Analysis Dimensional analysis is a convenient way to convert quantities from one unit to another. It would be used in an instance where two volumes need to be added, but they are in different units. Dimensional analysis would help to put them in the same unit, so that they can then be added. It is like how fractions cannot be added when they have different denominators, so in order to add them a common denominator needs to first be found. Dimensional analysis could also be used to solve more complex problems such as determining the density (in g/cm )of a solid when only the diameter (in nm) of each atom and its mass (in amu) is known ahead of time. Above is the what and why, n​ ere is ​ ow: Question:

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##### ISBN: 9781305270336

The answer to “A particle moves according to a law of motion s fstd, t > 0, where t is measured in seconds and s in feet. (a) Find the velocity at time t. (b) What is the velocity after 1 second? (c) When is the particle at rest? (d) When is the particle moving in the positive direction? (e) Find the total distance traveled during the first 6 seconds. (f) Draw a diagram like Figure 2 to illustrate the motion of the particle. (g) Find the acceleration at time t and after 1 second. (h) Graph the position, velocity, and acceleration functions for 0 < t < 6. (i) When is the particle speeding up? When is it slowing down? fstd t 2 e2t” is broken down into a number of easy to follow steps, and 122 words. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Since the solution to 4 from 3.7 chapter was answered, more than 229 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 4 from chapter: 3.7 was answered by , our top Calculus solution expert on 03/19/18, 03:29PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 95 chapters, and 5427 solutions. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336.

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