Suppose an object moves in space with the position

Chapter 11, Problem 4E

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QUESTION:

Suppose an object moves in space with the position function \(\mathbf{r}(t)=\langle x(t), y(t), z(t)\rangle\). Write the integral that gives the distance it travels between t = a and t = b.

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QUESTION:

Suppose an object moves in space with the position function \(\mathbf{r}(t)=\langle x(t), y(t), z(t)\rangle\). Write the integral that gives the distance it travels between t = a and t = b.

ANSWER:

Solution 4E

Step 1:

We need to find the integral that gives the distance which the object, with position vector ,travels between  t = a and t = b.

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