The displacement of a particle that moves along the x-axis is given by x = (-4 + 3t^2)e^-0.25t, consider x to be in feet and t in seconds. Plot the displacement, velocity, and acceleration for the first 20 seconds of motion and determine, both

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter6: Fundamental Dimensions And Units

Section: Chapter Questions

Problem 49P

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Question

The displacement of a particle that moves along the x-axis is given by x = (-4 + 3t^2)e^-0.25t, consider x to be in feet and t in seconds. Plot the displacement, velocity, and acceleration for the first 20 seconds of motion and determine, both graphically and by your established equation for acceleration, the time at which acceleration is 0. (If the students find it more comfortable, they may choose to graph using excel or any graphing software, solutions, however, must be done manually). Show COMPLETE STEP BY STEP SOLUTION and necessary FIGURES.

2. The displacement of a particle which moves along the x axis is given by x = (-4 + 3t²)e-0.25t, consider x to be in feet and t in seconds. Plot the displace-
ment, velocity and acceleration for the first 20 seconds of motion and determine, both graphically and by your established equation for acceleration,
the time at which acceleration is 0. (If the students find it more comfortable, they may choose to graph using excel or any graphing software, solutions
however must be done manually)

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