All following questions refer to a particle whose trajectory in time is given by

Question

All following questions refer to a particle whose trajectory in time is given by the vector function r(t)= 1. what is the velocity of the particle at time t=0? 2. what is the speed of the particle at t=0? 3. is the speed of this particle constant? 4. Find the arc length function s(t) of the helix r(t) with s(0)=0 for t>(or equal to)0 and reparameterize the helix with respect to this arc length 5. what is the acceleration vector of the particle at t=0 6. Find the unit tangent vector T and unit normal vector N at t=0 7. Find the tangential and normal components of the acceleration (aT and aN) at t=0 8. Compute the curvature k of the helix r(t)

Explanation / Answer

the question is incomplete. what is the function r(t)=?

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