A 4 kg mass moves under the influence of a force F = (4t³i - 3tj) N where t is the time in second. If mass sta…

Question

A **$$4 \, 	ext{kg}$$** mass moves under the influence of a force $$\vec{F} = (4t^3\hat{i} - 3t\hat{j})$$ **N** where $$t$$ is the time in second. If mass starts from origin at $$t=0$$, the velocity and position after $$t = 2 \, 	ext{s}$$ will be:

Accepted Answer

A. $$\vec{v} = 4\hat{i} - \frac{3}{2}\hat{j}$$, $$\vec{r} = \frac{8}{5}\hat{i} - \hat{j}$$

Answer

B. $$\vec{v} = 4\hat{i} + \frac{5}{2}\hat{j}$$, $$\vec{r} = \frac{8}{5}\hat{i} + 2\hat{j}$$

Answer

C. $$\vec{v} = 4\hat{i} - \frac{3}{2}\hat{j}$$, $$\vec{r} = \frac{6}{5}\hat{i} - \hat{j}$$

Answer

D. $$\vec{v} = 3\hat{i} + \frac{3}{2}\hat{j}$$, $$\vec{r} = \frac{6}{5}\hat{i} + \hat{j}$$

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