A police party is chasing a dacoit in a jeep which is moving at a constant speed v. The dacoit is on a motor cycle. When he is at a distance x from the jeep, he accelerates from rest at a constant rate $\mathrm{\alpha }$. Which of the following relations is true, if the police is able to catch the dacoit?

• A

  ${\mathrm{v}}^2\le \mathrm{\alpha x}$

• B

  ${\mathrm{v}}^2\le 2\mathrm{\alpha x}$

• C

  ${\mathrm{v}}^2\ge 2\mathrm{\alpha x}$

• D

  ${\mathrm{v}}^2 \ge \mathrm{\alpha x}$