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A thief in stolen car crashes through a police checkpost at top speed of 90 kmph. A motorcycle cop, reacting after 2 sec, accelerates from rest at 5m/s2.His top spd is 108 kmph.
Find max. separation between theif and police?
a)112.5m b)115m c)116.5m d)None above
Also plz. explain me how to solve these kind of problems when we have to find separation, top speed etc.
Dear chilukuri
speed of the car = 90 kmph = 25 m/sec
let after t sec of police stated distance between them are maximum
max speed of police =108 km/h = 30 m/sec
time taken by police to atttain a speed of 25 m/sec=25/5 =5 sec
distance between them will increse till police man attain a speed og more than 25 m/sec
distance travell be thief = 25*(5+2) =175 m
distance travell by police =1/2 *5* 52 =62.5 m
so distance between them S=175 -62.5 =112.5
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