JEE Main20249 Apr 2024Evening ShiftPhysicsMotion in One DimensionActual
Two cars are travelling towards each other at speed of 20 ~m ~s ⁻¹ each. When the cars are 300 ~m apart, both the drivers apply brakes and the cars retard at the rate of 2 ~m ~s ⁻² . The distance between them when they come to rest is :
Options
- A200 ~m
- B100 ~m
- C50 ~m
- D25 ~m
Correct answer
B. 100 ~m
Step-by-step solution
aligned & | u _ BA |=40 ~m / s & | a _ BA |=4 ~m / s & Apply ( v ^2= u ^2+2 as )_ relative & O =(40)^2+2(-4)( S ) & S =200 ~m & Remaining distance =300-200=100 ~m aligned