If $\displaystyle r(t) = <t^2, 3t, e^t>$, find the tangential and normal components of the acceleration vector.
Follow Math Help Forum on Facebook and Google+
This is what I have so far $\displaystyle a(t) = r"(t) = <2, 0, e^t>$ $\displaystyle T = r'(t)/||r'|| = <2t,3,e^t>/(4t^2 + 9 + e^t^2) = ?$ Am I on the right track? My algebra is a rusty. Can I do anything with T.
There was an error let me try this again. $\displaystyle T = r'(t)/||r'|| = <2t,3,e^t>/(4t^2 + 9 + (e^t)^2)^(1/2) $ So am I on the right track? How can i reduce T? The next step is to find N then do a dot T and a dot N correct?
Anyone out there that can help please!
View Tag Cloud