AP EAMCET2011PhysicsMotion 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?
Options
- Av^2 < a x
- Bv^2 < 2 a x
- Cv^2 2 a x
- Dv^2=a x
Correct answer
C. v^2 2 a x
Step-by-step solution
Let the police party catch the thief after t second. Distance travelled by police party in t second =v t and distance travelled by thief =x+ 1 2 t^2 So, x+ 1 2 t^2 v t or t^2 2 -v t+x=0 or t= v v^2-2 x For t to be real, v^2 2 x