(a) Suppose that a body is dropped (v₀ = 0) from a distance r₀ > R from the earth's center, so its acceleration is dv/dt = -GM/r². Ignoring air resistance, show that it reaches the height r < r₀ at time

(b) If a body is dropped from a height of 1000 km above the earth’s surface and air resistance is neglected, how long does it take to fall and with what speed will it strike the earth’s surface?

Transcribed Image Text:

1 = ro 2GM rro-r2+ro cos r ro