A police party is moving in a jeep at a constant speed $v$. They saw a theif at a distance x on a motorcycle which is at rest. The moment the police saw the thief, the thief started at constant acceleration $\alpha$. Which of the following relations is true if the police is able to catch the thief?

Question

$$\begin {array} {1 1} (a)\;v^2 < \alpha x & \quad (b)\;v^2 < 2 \alpha x \\ (c)\;v^2 \geq 2\alpha x & \quad (d)\;v^2 = \alpha x \end {array}$$