Time varying Voltage

At the moment $t=0$ , an electron leaves one plate of a parallel plate capacitor with a negligible velocity. An accelerating voltage varying as $V = bt$ , where $b$ is constant, is applied between the plates. The separation between the plates is $l$ . Let the time taken by the electron to reach the opposite plate be $t_0$ in microseconds.

What is

$\large \lfloor t_0 \rfloor \ ?$

Details and Assumptions

$b = 10 V/s$

$l = 1 mm$

$e = 1.6 \times 10^{-19} \rightarrow \text{charge on electron}$

$m = 9.1 \times 10^{-31} \rightarrow \text{mass of electron}$

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