Question: An object is fired vertically upward from the surface of the Earth (of radius RE) with an initial speed vi that is comparable to but

An object is fired vertically upward from the surface of the Earth (of radius RE) with an initial speed vi that is comparable to but less than the escape speed vesc. (a) Show that the object attains a maximum height h given by H = REVi2 / V2esc ─ Vi2 (b) A space vehicle is launched vertically upward from the Earth’s surface with an initial speed of 8.76 km/s, which is less than the escape speed of 11.2 km/s. What maximum height does it attain? (c) A meteorite falls toward the Earth. It is essentially at rest with respect to the Earth when it is at a height of 2.51 X 107 m. With what speed does the meteorite strike the Earth? (d) What If? Assume that a baseball is tossed up with an initial speed that is very small compared to the escape speed. Show that the equation from part (a) is consistent with Equation 4.13.

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