r(t) = x(t)i + y(t)j  where the curve is given by x=36cos2t and y=36sin2t

1. Is there a command to compute the normal acceleration vector? Or do I have to go through the formula step by step?

2. Same as above, except for tangential acceleration vector.

3. How do I graph the circle, the tangential vector, and the acceleration vector all on one 3dplot?

Hello again, thanks to everyone who has answered my questions.  It's difficult jumping into Maple starting with calculus 3, I wish I would've used it more in 1 and 2... BUT anyways, my question:

How do I get Maple to solve a vector equation given a time t?

For example, my two equations I want to solve are:

eq := r(t) = 2*t^2*_i+16*_j+(10*t-12)*_k

eq := r(t) = (20-6*t)*_i+4*t^2*_j+2*t^2*_k

Both solved at time t=2 ("when the airplanes collide").  I want these solved so I can use another Maple command to find the angle between the two vectors upon collision.  Does all this need to be done in steps or is there a more concise way?

eq := r(t) = 2*t^2*_i+16*_j+(10*t-12)*_k

I want the speed of the above position equation but I keep getting the error message "Error, invalid input: rhs received 2*t^2*_i+16*_j+(10*t-12)*_k, which is not valid for its 1st argument, expr"

I'm using Norm(rhs(eq));#Calculate Norm

I can't figure out what I'm doing wrong...

My equation is r(t) = 3 cos(5 t)i + sin(5 t)j +3 sin(5 t)k

I think Maple is assuming that i, j, and k are variables... how do I get it to recognize them correctly?  Then, how do I plot this without changing the format of my equation?