The escape velocity for a projectile on the Earth's surface is 11.2 km/s. If a body is projected at twice this velocity, what happens? MCQ with Answer and Explanation

The escape velocity for a projectile on the Earth's surface is 11.2 km/s. If a body is projected at twice this velocity, what happens?
A. It escapes Earth's gravity but eventually comes to rest in deep space.
B. It orbits the Earth indefinitely.
C. It returns to Earth after a long time.
D. It escapes Earth's gravity and retains a finite positive velocity in interstellar space.
Answer: Option D
Solution (By JKExamLibrary)
Escape velocity (Ve) is the minimum velocity needed to overcome Earth's gravitational pull so that final velocity at infinity is zero. If launched with velocity v > Ve, the body will escape and, due to conservation of energy, retain a residual speed (v_infinity) at an infinite distance, calculated by v_infinity = √(v² - Ve²). Here, v = 2Ve, so it retains speed.

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