vative-could-represent-a-position-function-before-applying-any-initial-condition

Question

For the vector velocity function V→(t)=(6t−4)i^+9t2j^\overrightarrow{V}\left(t\right)=\left(6t-4\right)\hat{i}$$+9t^2$$\hat{j}, which antiderivative could represent a position function before applying any initial condition?

Accepted Answer

(3t2−4t)i^+3t3j^+C\$$left(3t^2-4t$$\right)\hat{i}$$+3t^3$$\hat{j}+C

Answer

(6t2−4)i^+9t3j^+C\$$left(6t^2-4$$\right)\hat{i}$$+9t^3$$\hat{j}+C

Answer

(6t−4)i^+3t3j^+C\left(6t-4\right)\hat{i}$$+3t^3$$\hat{j}+C

Answer

(3t2−4t)i^+9t2j^+C\$$left(3t^2-4t$$\right)\hat{i}$$+9t^2$$\hat{j}+C

For the vector velocity function V→(t)=(6t−4)i^+9t2j^\(\overrightarrow{V}\]\left\)(t\(\right\))=\(\left\)(6t-4\(\right\))\(\hat{i}\)+9t^2\(\hat{j}\), which antiderivative could represent a position function before applying any initial condition?

For the vector velocity function $\vec{V} (t) = (6 t - 4) \hat{i} + 9 t^{2} \hat{j}$ , which antiderivative could represent a position function before applying any initial condition?