JEE Advanced 2018 · Paper 2, Physics question 9

A particle, of mass $10^{-3}$ kg and charge 1.0 C, is initially at rest. At time $t = 0$, the particle comes under the influence of an electric field $\vec{E}(t) = E_0 \sin\omega t\, \hat{i}$, where $E_0 = 1.0\ \mathrm{N\,C^{-1}}$ and $\omega = 10^3\ \mathrm{rad\,s^{-1}}$. Consider the effect of only the electrical force on the particle. Then the maximum speed, in $\mathrm{m\,s^{-1}}$, attained by the particle at subsequent times is ____________.