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Problem 12-16: 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 with Velocity-Dependent Acceleration

This lesson covers how to analyze straight-line particle motion when acceleration is expressed as a function of velocity. Students apply separation of variables and definite integration to determine both the total distance traveled and the elapsed time before the particle stops.

Question:
A particle moves along a straight line with an initial velocity of 6 meters per second. It is subjected to a deceleration equal to negative 1.5 times the square root of v, in meters per second squared, where v is in meters per second. Determine: part a, how far the particle travels before it stops; and part b, how much time this takes.

In this lesson, you will learn to:
• Set up and apply the kinematic relation a = v dv/ds to find displacement when acceleration depends on velocity
• Set up and apply the kinematic relation a = dv/dt to find e

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