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Answer: Analyzing motion Consider the position vector of

Chapter 12, Problem 41RE

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QUESTION:

Analyzing motion  Consider the position vector of the following moving objects.

(a) Find the normal and tangential components of the acceleration.

(b) Graph the trajectory and sketch the normal and tangential components of the acceleration at two points on the trajectory. Show that their sum gives the total acceleration.

\(\mathbf{r}(t)=\left(t^{2}+1\right)\) i+2 t j, for \(t \geq 0\)

Questions & Answers

QUESTION:

Analyzing motion  Consider the position vector of the following moving objects.

(a) Find the normal and tangential components of the acceleration.

(b) Graph the trajectory and sketch the normal and tangential components of the acceleration at two points on the trajectory. Show that their sum gives the total acceleration.

\(\mathbf{r}(t)=\left(t^{2}+1\right)\) i+2 t j, for \(t \geq 0\)

ANSWER:

Solution 41RE

a. tangential components of the acceleration aT =

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