The velocity of a body of mass $2 \, kg$ as a function of $t$ is given by $\vec{v}(t) = 2t \hat{i} + t^2 \hat{j}$. Find the momentum and the force acting on it at time $t = 2 \, s$.

• A
  Momentum = $(8 \hat{i} + 8 \hat{j}) \, kg \cdot m/s$,Force = $(4 \hat{i} + 8 \hat{j}) \, N$
• B
  Momentum = $(4 \hat{i} + 8 \hat{j}) \, kg \cdot m/s$,Force = $(8 \hat{i} + 8 \hat{j}) \, N$
• C
  Momentum = $(8 \hat{i} + 4 \hat{j}) \, kg \cdot m/s$,Force = $(4 \hat{i} + 4 \hat{j}) \, N$
• D
  Momentum = $(2 \hat{i} + 4 \hat{j}) \, kg \cdot m/s$,Force = $(2 \hat{i} + 8 \hat{j}) \, N$