[Solution] A particle moves in space. Its position vector at time t is r(t)=t i+j sin t+k cos t. Find the velocity and acceleration vectors at time
Question: A particle moves in space. Its position vector at time \(\mathrm{t}\) is \(\mathrm{r}(\mathrm{t})=\mathrm{t} \mathrm{i}+\mathrm{j} \sin \mathrm{t}+\mathrm{k} \cos \mathrm{t}\). Find the velocity and acceleration vectors
at time \(\mathrm{t}=0\).
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