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Deleted member 4993
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You say:Hi, thank you for the answer. It's not an exercise or homework, I'm trying to program an autopilot for a vehicle and that's the acceleration formula for the engine.
a0, v0, x0 are the initial acceleration, velocity, position, and when I start the car (t=0) they're all zero.
p, r, m, s are constants.
To conclude that acceleration and velocity are zero you just need to replace t in the formulas I provided.
In the acceleration formula it is: (sin(-pi/2) - 1) which makes the numerator go to zero.
In the velocity formula also the numerator is zero since cos(-pi/2) is zero.
(sin(-pi/2) - 1) = 0 ....................................NO!!
Go to Wolframalpha.com and find out.
Have you taken a course in dynamics?