1. The position of a particle in motion in the plane at time http://webwork2.math.utah.edu/webwor...5b59f2bc11.png is http://webwork2.math.utah.edu/webwor...56deb6f101.png

At time http://webwork2.math.utah.edu/webwor...388a5f95d1.png, determine the following:

(a) The speed of the particle

http://webwork2.math.utah.edu/webwor...d590dce2a1.png 8.85663593

(b) The unit tangent vector to http://webwork2.math.utah.edu/webwor...d0a4b001e1.png

http://webwork2.math.utah.edu/webwor...33a1f823c1.png .9936053 http://webwork2.math.utah.edu/webwor...04cdc92501.png .112909688 http://webwork2.math.utah.edu/webwor...237541f941.png

(c) The tangential acceleration

http://webwork2.math.utah.edu/webwor...4a7acc0aa1.png?

(d) The normal acceleration

http://webwork2.math.utah.edu/webwor...50c2302c71.png?

I figured out the speed and T(t) but i have no idea how to find the aT and aN. Please help out.