Question 753981: for the following position function, s(t)= 2t^3 -3t^2 +4, discuss the motion along a horizontal line. discuss the instantaneous velocity, acceleration, intervals when the particle in motion is moving to the right and left, intervals when the particle in motion is speeding up and slowing down. make a sketch of the motion of the particle at its appropriate position above the line of motion.
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! for the following position function, s(t)= 2t^3 -3t^2 +4, discuss the motion along a horizontal line. discuss the instantaneous velocity, acceleration, intervals when the particle in motion is moving to the right and left, intervals when the particle in motion is speeding up and slowing down. make a sketch of the motion of the particle at its appropriate position above the line of motion.
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s(t)= 2t^3 -3t^2 +4
V = the 1st derivative s'(t)
s'(t) = 6t^2 - 6t
acc = s''(t) = 12t - 6
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dl the FREE graph software at
http://www.padowan.dk
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Use Ins, then select parametric equations.
Enter
x(t) = t
y(t) = s(t)= 2t^3 -3t^2 +4
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