The velocity function of a particle moving along a horizontal line is given by v(t) = t2-8t+15, where t >= 0 is in seconds. The particle is 5/3 units to the left of the origin at the second instant when it changes direction. 1. Determine th etime interval (s) on which the particle is both moving to the right and slowing down. 2. Find the position function of the particle.

The velocity function of a particle moving along a horizontal line is given by v(t) = t2-8t+15, where t >= 0 is in seconds. The particle is 5/3 units to the left of the origin at the second instant when it changes direction. 1. Determine th etime interval (s) on which the particle is both moving to the right and slowing down. 2. Find the position function of the particle.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

The velocity function of a particle moving along a horizontal line is given by v(t) = t²-8t+15, where t >= 0 is in seconds. The particle is 5/3 units to the left of the origin at the second instant when it changes direction.

1. Determine th etime interval (s) on which the particle is both moving to the right and slowing down.

2. Find the position function of the particle.

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