Answer to Question #3864 in Mechanics | Relativity for mia
The acceleration of the last car after it unfastened is a (for example, a = -2 m/s2 because its speed decreasing).
The graph shows the paths of the train and a car until the car stopped.
Train’s path can be calculated as S1(t) = Vt
and the car’s path: S2(t) = Vt+(at2)/2.
Car is moving from the moment t0 until it stops at time t1.
t1 can be calculated from the equation for the speed of the car:
U(t1)=V+a*t1=0, t1 = -V/a = 15 s.
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