Treat the motion of a particle which moves along the s-axis as shown. + 8, ft or m -1 2 3 The displacement of a particle is given by s = 4t3 – 20t2 + 80t – 30, Where s is in feet and t is in seconds. a. Plot the displacement vs. time graph for the first 15 seconds. Show the ze velocity/velocities. b. Plot the velocity vs. time graph for the first 15 seconds. Show the zero aco Plot the acceleration vs. time graph for the first 15 seconds. C.
Treat the motion of a particle which moves along the s-axis as shown. + 8, ft or m -1 2 3 The displacement of a particle is given by s = 4t3 – 20t2 + 80t – 30, Where s is in feet and t is in seconds. a. Plot the displacement vs. time graph for the first 15 seconds. Show the ze velocity/velocities. b. Plot the velocity vs. time graph for the first 15 seconds. Show the zero aco Plot the acceleration vs. time graph for the first 15 seconds. C.
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Transcribed Image Text:2. Treat the motion of a particle which moves along the s-axis as shown.
ft or m
-1
1
2
3
The displacement of a particle is given by s = 4t3 – 20t² + 80t – 30,
Where s is in feet and t is in seconds.
a. Plot the displacement vs. time graph for the first 15 seconds. Show the zero
velocity/velocities.
b. Plot the velocity vs. time graph for the first 15 seconds. Show the zero acceleration.
Plot the acceleration vs. time graph for the first 15 seconds.
d. Using the graphical solution, solve for the maximum positive displacement reached by the
particle.
e. Using the graphical solution, solve for net displacement reached by the particle.
f. Using the graphical solution, solve for the total distance travelled by the particle.
с.
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