Velocity of the comet increases as it comes near the planets

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SUMMARY

The velocity of a comet increases as it approaches planets due to gravitational acceleration from the sun and the planets themselves. This acceleration is governed by the inverse square law of gravitation, where the gravitational force increases as the distance decreases. As the comet falls into the gravitational well of a planet or the sun, it gains velocity, adhering to the principles of conservation of energy and Kepler's laws of planetary motion. Specifically, the area swept by the comet around the sun remains constant, necessitating an increase in speed as it approaches the sun.

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why does the velocity of the comet increases as it comes near the planets
 
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It is accelerating due to the sun's gravity.
 
Hello, lakshmi!
The question is that anything putted around the planet(that is, in region where the planet's field acts) suffers an interaction due to planet's field. This interaction is proportional to inverse of square of the distance between them. So, when this something is approaching to the planet, the interaction is increasing, consequently, its acceleration too, consequently, its velocity too.
 
lakshmi said:
why does the velocity of the comet increases as it comes near the planets

Because of the conservation of energy, any object must gain velocity as it "drops" down a gravity well. It's not that much different than the reason a ball gains velocity if you drop and/or throw it downwards.
 
According to Keppler's law the area swept by any celestial body revolving around sun per unit time s constant. When a comet aprochs near to the sun its distance fromit decreases and to fulfill the condition its speed increases.
 

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