For a particle moving in a straight line with increasing speed, the appropriate sign of acceleration $\overrightarrow{\mathit{a}}$ and velocity $\overrightarrow{\mathit{v}}$ can be:

A particle can travel from point $A$ to $B$ from two different paths $1$ and $2$ as shown, in same interval of time. Then, which of the following is incorrect?

If the velocity of a particle is $\overrightarrow{v}=\left(3\hat{\mathrm{i}}+4t\hat{\mathrm{j}}\right) \mathrm{m} {\mathrm{s}}^{-1}$, find the acceleration of the particle at $t=1 \mathrm{s}$.