A mass moves under the influence of a force where is the time in second. If mass starts from origin at , the velocity and position after will be :...

x-componenty-component v_2 = 4i - 32j x-componenty-component r = 85i - j...

A 4 kg mass moves under the influence of a force F 4t 3i 3tj: null (Physics) | DivineJEE

Exam 2026 21st January Shift 1

Physics

4\text{ kg}

mass moves under the influence of a force

\vec{F} = (4t^3\hat{i} - 3t\hat{j})\text{ N}

where

t

is the time in second. If mass starts from origin at

t = 0

, the velocity and position after

t = 2\text{s}

will be :

\vec{v}=3\hat{i}+\frac{3}{2}\hat{j} \quad \vec{r}=\frac{6}{5}\hat{i}+\hat{j}

\vec{v}=4\hat{i}-\frac{3}{2}\hat{j} \quad \vec{r}=\frac{8}{5}\hat{i}-\hat{j}

\vec{v}=4\hat{i}+\frac{5}{2}\hat{j} \quad \vec{r}=\frac{8}{5}\hat{i}+2\hat{j}

\vec{v}=4\hat{i}-\frac{3}{2}\hat{j} \quad \vec{r}=\frac{6}{5}\hat{i}-\hat{j}

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