Accounting for the variation of gravitational acceleration a with respect to altitude y mdch12.

Accounting for the variation of gravitational acceleration

a with respect to altitude y (see Prob. 12–36), derive an

equation that relates the velocity of a freely falling particle

to its altitude. Assume that the particle is released from

rest at an altitude y0 from the earth’s surface. With what

velocity does the particle strike the earth if it is released

from rest at an altitude y0 = 500 km

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Accounting for the variation of gravitational acceleration

a with respect to altitude y (see Prob. 12–36), derive an

equation that relates the velocity of a freely falling particle

to its altitude. Assume that the particle is released from

rest at an altitude y0 from the earth’s surface. With what

velocity does the particle strike the earth if it is released

from rest at an altitude y0 = 500 km