A meteor P is tracked by a radar observatory on the earth at O. When the meteor is directly overhead (θ = 90°), the following observations are recorded: r = 80 km, r˙ = −20 km/s, and θ˙ = 0.4 rad/s. (a) Determine the speed v of the meteor and the angle θ which its velocity vector makes with the horizontal. Neglect any effects due to the earth’s rotation. (b) Repeat with all given quantities remaining the same, except that θ = 75°.

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y B --x Problem 2/160