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Question:
Explain what happens when a body is raised to a height from the surface of earth and then given a horizontal velocity v such that (i) 0 < v < 8.0 km s–1 (ii) v = 8.0 km s–1 (iii) 8.0 < v < 11.2 km s–1 (iv) v = 11.2 km s–1
Answer:

(i) In this case, body will fall down on earth following the parabolic trajectory, depending on velocity.

(ii) In this case, body will start orbiting the earth at constant height on circular orbit. We would have to neglect friction due to atmosphere to give such conclusion.

(iii) In this case, body will orbit the earth with elliptical orbit.

(iv) in this case, body will leave the earth forever and start orbiting the sun.

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