well, it's been a while since I did those, and it's late.
I was going to consult google first.
If all you want is the formulas, I'm sure you'll find them there.
Or check out differential geometry. Those ideas are among the first presented.
I'll check back tomorrow...
Find the tangential and normal components of the acceleration vector. (r)= (t^2 +1)I +t^3 j, t>=0?
I need to know what are the formulas to solve for them if I got stuck, I will ask later.
2 answers
acT(t)=(r'(t) dot r''(t))/(llr'(t)ll)
acN(t)=(llr'(t)crossr''(t)ll)/(llr'(t)ll)
acN(t)=(llr'(t)crossr''(t)ll)/(llr'(t)ll)