Comets actually have two tails. A dust tail pushed back by the pressure of the Sun's light (white in this image) and an ion tail pushed back by the particles of the solar wind (blue in this image).
(image:M. Fairbanks -CC attrib, share alike license)
@evilscientistca the dust tail (the white one) looks curved because the dust spread along the comet orbit (which is elliptic), the ion-tail (the blue one) point in the opposite direction of the sun, so it can be "ahead" the comet path .
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