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# 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?

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

$(c)\;v^2 \geq 2\alpha x$