Help with a function

[foxyLox121]

Given the vector function f (t) = 3ti + 3Sen(t)j + 3Cos(t)k
Deduct:

A) Tangential acceleration
B) Normal acceleration

 

[pka]

Given the vector function f (t) = 3ti + 3Sen(t)j + 3Cos(t)k Deduct:
A) Tangential acceleration
B) Normal acceleration

This is an English language site so \(\bf r(t)=3\bf{ti}+3\sin(t)\bf{j}+3\cos(t)\bf{k}\)
The Tangential acceleration is \(\bf T(t)=\dfrac{r^{\prime}(t)}{\|r^{\prime}(t)\|}\)
The Normal acceleration is \(\bf N(t)=\dfrac{T^{\prime}(t)}{\|T^{\prime}(t)\|}\)