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Problem 12-14: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)

Engineering Mechanics Dynamics · R.C. Hibbeler · Chapter 12

Course: Engineering Mechanics Dynamics Book: R.C. Hibbeler Chapter: Chapter 12

Question

Rectilinear Kinematics: Distance, Velocity, and Acceleration

This lesson analyzes the motion of a particle moving along a straight line using a cubic position function. Students apply differentiation to find velocity and acceleration, identify direction reversals, and distinguish between total distance traveled, average speed, and average velocity.

Question:
The position of a particle along a straight-line path is defined by s of t equals t cubed minus 6 t squared minus 15 t plus 7 feet, where t is in seconds. Determine the total distance traveled when t equals 10 seconds. Find the particle's average velocity, average speed, and the instantaneous velocity and acceleration at t equals 10 seconds.

In this lesson, you will learn to:
• Differentiate a position function to obtain velocity and acceleration functions.
• Identify turning points by setting the velocity function equal to zero.

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