12-30. As a train accelerates uniformly it passes

Chapter 12, Problem 12-31

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QUESTION:

The acceleration of a particle along a straight line is defined by \(a=(2 t-9) \mathrm{m} / \mathrm{s}^{2}\), where t is seconds. At t = 0, s = 1 m and v = 10 m/s. When t = 9 s, determine (a) the particle's position, (b) the total distance traveled, and (c) the velocity.

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QUESTION:

The acceleration of a particle along a straight line is defined by \(a=(2 t-9) \mathrm{m} / \mathrm{s}^{2}\), where t is seconds. At t = 0, s = 1 m and v = 10 m/s. When t = 9 s, determine (a) the particle's position, (b) the total distance traveled, and (c) the velocity.

ANSWER:

Step 1 of 4

Given: , , . Velocity and position at moment  are equal to:

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