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Vector uses in physics – Calculate angle between velocity vector and acceleration vector – Exercise 3878

Exercise

Calculate the angle between the velocity and acceleration vectors at t = 0 if the motion vector is

\vec{r}(t)=\ln(t^2+1)\vec{i}+\arctan t\vec{j}+\sqrt{t^2+1}\vec{k}

Final Answer

\alpha=\frac{\pi}{2}

Solution

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