Solved: CALC If where b and c are positive constants, when

Chapter 3, Problem 3.43

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QUESTION:

CALC  If \(\vec{r}=bt^2\hat{i}+ct^3\hat{j}\) where b and c are positive constants, when does the velocity vector make an angle of 45.0° with the x - and y -axes?

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QUESTION:

CALC  If \(\vec{r}=bt^2\hat{i}+ct^3\hat{j}\) where b and c are positive constants, when does the velocity vector make an angle of 45.0° with the x - and y -axes?

ANSWER:

Step 1 of 3

Given data:

   Position vector .

The velocity vector is given as,

         

 

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