The orbits of two comets lie in the plane of the earth’s orbit, their smallest distances from the Sun are equal to 0.5 and 2 AU.

The orbits of two comets lie in the plane of the earth’s orbit, their smallest distances from the Sun are equal to 0.5 and 2 AU. Each of the comets has a tail 150 million km long. Could these comets catch the Earth with their tail?

Only the first can, since the tail is always directed in the direction opposite to the Sun.

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