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 $35.7 \times 10^{4}\, m$

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