AP EAMCET · PHYSICS · Motion In One Dimension
A police party is moving in a jeep at a constant speed \(v\). They saw a thief at a distance \(x\) on a motorcycle which is at rest. The moment the police saw the thief, the thief started at constant acceleration \(a\). Which of the following relations is true if the police is able to catch the thief?
- A \(v^2 < a x\)
- B \(v^2 < 2 a x\)
- C \(v^2 \geq 2 a x\)
- D \(v^2=a x\)
Answer & Solution
Correct Answer
(C) \(v^2 \geq 2 a x\)
Step-by-step Solution
Detailed explanation
Let the police party catch the thief after \(t\) second. \(\therefore\) Distance travelled by police party in \(t\) second \(=v t\) and distance travelled by thief \(=x+\frac{1}{2} \alpha t^2\) So, \(\quad x+\frac{1}{2} \alpha t^2 \leq v t\) or…
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