A particle has velocity $v(t)=⟨6t,18t^2⟩$ and position $⟨-2,-5⟩$ at $t=0$. Find its position at $t=3$.

A particle has velocity $v(t)=⟨\sin t,2⟩$ and is at $⟨4,0⟩$ when $t=0$. Which expression gives its $x$-coordinate at $t=1$?

A particle has position $r(t)=⟨e^{-t},\sin t⟩$. Find its VELOCITY vector.

A particle has velocity $v(t)=⟨t-4,t^2-16⟩$. At $t=1$, how is it moving?

A particle has velocity $v(t)=⟨8t^3,15t^2⟩$. What is its SPEED at $t=1$?

A particle has velocity $v(t)=⟨8t,24t^2⟩$ and position $⟨2,5⟩$ at $t=0$. Find its position at $t=3$.

Which integral gives the TOTAL DISTANCE traveled by a particle with $v(t)=⟨6t,4⟩$ from $t=0$ to $t=5$?

A particle has velocity $v(t)=⟨8t,15⟩$. What is its SPEED at $t=1$?

A particle has velocity $v(t)=⟨t-3,t^2-4⟩$. At $t=1$, how is it moving?

A particle has velocity $v(t)=⟨12t^2,8t⟩$. Find its ACCELERATION at $t=3$.

A particle has position $r(t)=⟨e^{-t},e^{2t}⟩$. Find its VELOCITY vector.

A particle has velocity $v(t)=⟨6t^2,10t⟩$. Find its ACCELERATION at $t=1$.

A particle has position $r(t)=⟨t^3,e^{-t}⟩$. Find its VELOCITY vector.

A particle has velocity $v(t)=⟨6t,18t^2⟩$ and position $⟨1,-1⟩$ at $t=0$. Find its position at $t=2$.

A particle has velocity $v(t)=⟨2t,6t^2⟩$ and position $⟨1,3⟩$ at $t=0$. Find its position at $t=3$.

A particle has position $r(t)=⟨4t,2t^3⟩$. Find its VELOCITY vector.

A particle has velocity $v(t)=⟨2t^3,2⟩$ and is at $⟨-2,0⟩$ when $t=0$. Which expression gives its $x$-coordinate at $t=4$?

A particle has velocity $v(t)=⟨\cos t,2⟩$ and is at $⟨-1,0⟩$ when $t=0$. Which expression gives its $x$-coordinate at $t=3$?

A particle has velocity $v(t)=⟨7t,24⟩$. What is its SPEED at $t=1$?

A particle has velocity $v(t)=⟨2t,6t^2⟩$ and position $⟨3,-2⟩$ at $t=0$. Find its position at $t=2$.

Which integral gives the TOTAL DISTANCE traveled by a particle with $v(t)=⟨2t,5⟩$ from $t=0$ to $t=2$?

A particle has velocity $v(t)=⟨8t^2,6t⟩$. What is its SPEED at $t=1$?

A particle has velocity $v(t)=⟨15t^2,4t⟩$. Find its ACCELERATION at $t=1$.

A particle has velocity $v(t)=⟨t-3,t^2-25⟩$. At $t=4$, how is it moving?