Helicoidal movement: acceleration vector, arc length, radius of curvature

[Michael_0039]

Homework Statement

The position of a material point in a Cartesian coordinate system 0XYZ given from the equation r=( 3sin(t) , 3cos(t) , 4t ), t : time. Describe in a few words the motion and find the route's length (arc length) from t=5 to t=10. Calculate the accelerattion vector and the radius of curvature at every point on the track.

Relevant Equations

r = ( 3sin(t) , 3cos(t) , 4t )

I have tried to solve it and I would like a confirmation, correction or if something else is suggested... :)

Helicoidal movement

 

[collinsmark]

I think that's correct.