# For the position function: r(t) = t cos (t) i + t sin(t) j + t^2 k , t_0 = 0. Find the four...

## Question:

For the position function: {eq}r(t) = t cos (t) i + t sin(t) j + t^2 k , t_0 = 0. {/eq} Find the four acceleration components {eq}T(t_0), a T(t_0), a N(t_0), \ and \ N(t_0) {/eq}

## Finding the Acceleration Components:

The acceleration components of the tangential and normal vectors, then the unit tangent vector and the unit normal vectors are evaluated by using the velocity and acceleration vectors. The parameter value {eq}\displaystyle t {/eq} should be considered as {eq}\displaystyle t_0 {/eq}.

## Answer and Explanation:

Become a Study.com member to unlock this answer! Create your account

View this answerWe consider the given position function {eq}\displaystyle r(t) = t \cos (t) \vec{i} + t \sin(t) \vec{j} + t^2 \vec{k} , {/eq} at...

See full answer below.

#### Ask a question

Our experts can answer your tough homework and study questions.

Ask a question Ask a question