1.

An express train is running behind a goods train on the same line and in the same direction, their velocities being u1 and u2 (u1 > u2) respectively. When there is a distance x between them, each is seen from the other. At which point it is just possible to avoid a collision f1 is the greatest retardation and f2 is the greatest acceleration which can be produced in the two trains respectively?

A. (u<sub>1</sub> u<sub>2</sub>)<sup>2</sup> = 2x(f<sub>1</sub> + f<sub>2</sub>)
B. (u<sub>1</sub> + u<sub>2</sub>)<sup>2</sup> = 2x(f<sub>1</sub> f<sub>2</sub>)
C. (u<sub>1</sub> u<sub>2</sub>)<sup>2</sup> = 2x(f<sub>1</sub> f<sub>2</sub>)
D. (u<sub>1</sub> + u<sub>2</sub>)<sup>2</sup> = 2x(f<sub>1</sub> + f<sub>2</sub>)
Answer» D. (u<sub>1</sub> + u<sub>2</sub>)<sup>2</sup> = 2x(f<sub>1</sub> + f<sub>2</sub>)


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