Vector uses in physics – Calculate motion – Exercise 3874

Exercise

Particle acceleration depends on time according to the acceleration formula

$\vec{a}(t)=18\cos(3t)\vec{i}-18\sin(3t)\vec{j}$

The initial vector radius of the particle is

$\vec{r}(0)=(2,0,1)$

And the initial velocity of the particle is

$\vec{v}(0)=(0,2,4)$

Calculate the equation of motion of the particle.

Final Answer

$\vec{r}(t)=(-2\cos(3t)+4)\vec{i}+(2\sin(3t)-4t)\vec{j}+(4t+1)\vec{k}$

Coming soon…

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