Find the normal and tangential components of the acceleratio

Find the normal and tangential components of the acceleration of the particle r(t)=<t,t,1-t^2>?

Solution

since they only ask for the normal and tangent and not for their unit vector all you have to do is take the derivatives

T(t) = r\'(t) = <1,1,-2t>

N(t)=r\"(t) = T\'(t) = <0,0,-2>

Find the normal and tangential components of the acceleration of the particle r(t)=<t,t,1-t^2>?Solutionsince they only ask for the normal and tangent and

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