Rocket in space

Classical Mechanics Level pending

Consider a rocket wandering in space for detecting life . Its engine is powered with plenty of fuel to last for decades.

The rocket is in the region where no heavenly bodies are present to influence its motion. The engine of rocket was switched on since it started exploration.

If the speed of rocket after ' t ' seconds is ' v ' *And its speed after ' T ' seconds is ' V ' * such that T > t. Then,

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