Question

A red train traveling at 72 km/h and a green train traveling at 144 km/h are...

A red train traveling at 72 km/h and a green train traveling at 144 km/h are headed toward each other along a straight, level track. When they are 820 m apart, each engineer sees the other's train and applies the brakes. The brakes slow each train at the rate of 1.0 m/s2. Is there a collision?
If so, give (a) the speed of the red train, (b) the speed of the green train, and (c) the separation between the trains when they collide (0 m).
If not, give (a) the speed of the red train (0 m/s), (b) the speed of the green train (0 m/s), and (c) the separation between the trains when they stop.

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Answer #1

72 km/h = 20 m/s and 144 km/h = 40 m/s

Distance of stopping of red train :

Distance of stopping of green train :

200 + 800 = 1000 m separation is need but there is only 820 m . So there is a collision

a) the speed of the red train =  0 m/s

b) (b) the speed of the green train :

(c) the separation between the trains when they collide = 0 m

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