y-v1-5i-2j-and-position-r1-4i-j-which-position-function-satisfies-all-conditions

Question

A survey drone has acceleration a→(t)=(2t)i^+6j^\overrightarrow{a}\left(t\right)=\left(2t\right)\hat{i}+6\hat{j}, initial velocity v→(1)=5i^+2j^\overrightarrow{v}\left(1\right)=5\hat{i}+2\hat{j}, and position r→(1)=4i−j\overrightarrow{r}\left(1\right)=4i-j. Which position function satisfies all conditions?

Accepted Answer

(t33+4t−13)i^+(3t2−4t)j^\left(\frac{$$t^3$$}{3}+4t-\frac13\right)\hat{i}+\$$left(3t^2-4t$$\right)\hat{j}

Answer

(t33+4t−13)i^+(3t2−4t−1)j^\left(\frac{$$t^3$$}{3}+4t-\frac13\right)\hat{i}+\$$left(3t^2-4t-1$$\right)\hat{j}

Answer

(t2+4)i^+(6t−4)j^\$$left(t^2+4$$\right)\hat{i}+\left(6t-4\right)\hat{j}

Answer

(t33+4t+13)i^+(3t2−4t)j^\left(\frac{$$t^3$$}{3}+4t+\frac13\right)\hat{i}+\$$left(3t^2-4t$$\right)\hat{j}