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.
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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