a car travelling at 60km ph overtakes another car travelling at 42kmph. Assuming each car to be 5 m long find the total road distance used for the overtake
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Speed of car A =60km/hr
=60x5/18
=50/3 m/s
Speed of car B =42km/hr
=42x5/18
=35/3 m/s
Relative speed of Car A w.r.t Car B is =50/3 - 35/3
=15/3
=5 m/s
Total distance to be covered in overtaking = Length of both cars
=10m
We know Time =Distance/speed
=10m/5m/s=2 sec
Total distance used for overatking will be equal to distance covered by car in overtaking + length of car
=(50/3)x2+5
=100/3 +5
=33.3+5
=38.3 m
∴Time taken during the overtake and the total road distance used for the overtake is 38.3m
=60x5/18
=50/3 m/s
Hence the the total road distance used for the overtake is 50/3 m/s.
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