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
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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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.
Transcribed Image Text: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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