An electron moving with a velocity of $5 \times 10^{4} \, ms^{-1}$ enters into a uniform electric field and acquires a uniform acceleration of $10^{4} \, ms^{-2}$ in the direction of its initial motion.
$(i)$ Calculate the time in which the electron would acquire a velocity double of its initial velocity.
$(ii)$ How much distance the electron would cover in this time?

• A
  $20 \, s$ and $7.5 \times 10^{4} \, m$
• B
  $5 \, s$ and $37.5 \times 10^{4} \, m$
• C
  $0.5 \, s$ and $75.3 \times 10^{4} \, m$
• D
  $15 \, s$ and $35.7 \times 10^{4} \, m$