(a) Suppose that a body is dropped (v0 = 0) from a distance ro > R from the earth’s cen...

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

(Suggestion: Substitute r = r0 cos2 θ to evaluate (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?