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Vector uses in physics – Calculate motion – Exercise 3868

Exercise

Particle velocity varies by the velocity function

\vec{v}(t)=2\vec{i}-\vec{j}-10t\vec{k}

At t = 0 the particle is at the point

\vec{r}(0)=(0,0,100)

Calculate the equation of motion of the particle.

Final Answer

\vec{r}(t)=2t\vec{i}-t\vec{j}-(5t^2+100)\vec{k}

Solution

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