A car is standing $\mathrm{200\hspace{0.17em}}\mathrm{m}$ behind a bus, which is also at rest. The two start moving at the same instant but with different forward accelerations. The bus has acceleration $2 \mathrm{m} {\mathrm{s}}^{-2}$ and the car has acceleration $4\mathrm{\hspace{0.17em}}\mathrm{m} {\mathrm{s}}^{-2}$ . The car will catch up with the bus after time :

• A

  $\sqrt{120} \text{s}$
• B

  $15 \text{s}$
• C

  $\sqrt{110} \text{s}$
• Correct answer
  D

  $10\sqrt{2} \text{s}$

Hence, the correct answer is option: 'D'.