fbpx
calculus online - Free exercises and solutions to help you succeed!

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}

Solution

Coming soon…

Share with Friends

Leave a Reply