ible-follows-velocity-vt-3t2-6ti-4t-2j-if-r2-5i-j-what-is-its-position-vector-rt

Question

A submersible follows velocity V→(t)=(3t2−6t)i^+(4t+2)j^\overrightarrow{V}\left(t\right)=\$$left(3t^2-6t$$\right)\hat{i}+\left(4t+2\right)\hat{j}. If R→(2)=5i^+j^\overrightarrow{R}\left(2\right)=5\hat{i}+\hat{j}, what is its position vector R→(t)\overrightarrow{R}\left(t\right)?

Accepted Answer

(t3−3t2+9)i^+(2t2+2t−11)j^\$$left(t^3$-3t^2+9$$\right)\hat{i}+\$$left(2t^2+2t-11$$\right)\hat{j}

Answer

(t3−3t2+9)i^+(2t2+2t+1)j^\$$left(t^3$-3t^2+9$$\right)\hat{i}+\$$left(2t^2+2t+1$$\right)\hat{j}

Answer

(3t3−6t2+9)i^+(2t2+2t−11)j^\$$left(3t^3$-6t^2+9$$\right)\hat{i}+\$$left(2t^2+2t-11$$\right)\hat{j}

Answer

(t3−3t2−9)i^+(2t2+2t+11)j^\$$left(t^3$-3t^2-9$$\right)\hat{i}+\$$left(2t^2+2t+11$$\right)\hat{j}