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HELP!! The velocity for a particle moving through space parameterized in terms o

ID: 3374312 • Letter: H

Question

                    HELP!!                 

                

                    
                

                

                    The velocity for a particle moving through space parameterized in terms of arc length s is
                

                

                    
                

                

                    v(s)= <s,0,1>                 

                

                    
                

                

                    Find the curvature of the particle's path after the particle has traveled 1 units.                 

                

                    
                

                                     (Last person to answer uploaded a pixilated picture that i was unable to read)

Explanation / Answer

well the first step is to calculate r'(t) and then determine it's norm.

r'(t) = -sin(t)*i + j + cos(t)*k

now |r'(t)| = ?[(r'(t))