An automobile traveling 100km/h overtakes a 1.50 km long traintraveling in the s

Question

An automobile traveling 100km/h overtakes a 1.50 km long traintraveling in the same direction on a track parallel to theroad. If the train's speed is 75km/h, how long does it take the car to pass it?
1 min
How far will the car have traveled in this time?
2 km
See Figure 2-40. What are the results if the car and train aretraveling in opposite directions?
3 s
4 km
An automobile traveling 100km/h overtakes a 1.50 km long traintraveling in the same direction on a track parallel to theroad. If the train's speed is 75km/h, how long does it take the car to pass it?
1 min
How far will the car have traveled in this time?
2 km
See Figure 2-40. What are the results if the car and train aretraveling in opposite directions?
3 s
4 km

Explanation / Answer

Speed of auto mobile   v = 100 km / h Speed of the train v ' = 75 km / h Length of the train L = 1.5 km Relative speed V = v - v '                             = 25 km / h Required time   t = L / V                            = 0.06 hrs                            = 0.06*60 min                            = 3.6 min (b). distance ttraveled by car in this time S = v *t                                                                      = 100 km / h * 0.06 hr                                                                      = 6 km (c). In opposite direction relative velocity V ' =v + v '                                                                           = 175 km / s So, time t' = 1.5 / 175 h                 = 0.00857 hrs distance ttraveled by car in this time  S ' = vt '                                                                      = 0.857km          

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