a police inspector in a jeep is chasing a pickpocket on a straight road. the jeep is going with maximum speed v(assumed uniform). the pick pocket rides on the motor cycle of a waiting friend when the jeep is at a distance of 'd' away, the motorcycle starts with a constant acceleration a. show that the pick pocket will be caught if

Asked by riya sinha | 24th Jun, 2013, 03:49: PM

Expert Answer:

The pick pocket will be caught after time t when they will be at the same coordinate. 
 
Now, for the police inspector
s = vt
 
For the motorcycle 
s' = 1/2a*t^2
 
Now, also, since police inspector needs to cover d distance more than the motorcycle in the same
time t 
 
hence s = s'+d
vt = 1/2a*t^2 + d
 
at^2 -2vt+2d = 0
 

Answered by  | 25th Jun, 2013, 04:35: PM

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