Two car travelling towards each other on a straith road at velocity 10 ms^(-1) and 12 ms^(-1) respectively. When they are 150 m apart, both the drivers apply their brakesand each car decelerates at 2 ms^(-2) until it stops. How far apart will they be when both of them come to a halt ?

Two car travelling towards each other on a straith road at velocity 10

1.	Two car travelling towards each other on a straith road at velocity 10 ms^(-1) and 12 ms^(-1) respectively. When they are 150 m apart, both the drivers apply their brakesand each car decelerates at 2 ms^(-2) until it stops. How far apart will they be when both of them come to a halt ?
Answer» Solution :Let `x_(1)` and `x_(2)` be the distance travelled by the car before they stop under deceleration. From IIIRD EQUATION of motion `V^(2)=u^(2)+2as` `rArr 0=(10)^(2)-2xx2x_(1) rArr x_(1)=25 m` and `0 = (12)^(2) - 2xx2x_(2) rArr x_(2)=36 m` Total distance covered by the two CARS `x_(1)+x_(2)=25+36=61 m` Distance between the two cars when they stop `=150-61=89 m`