Wild geese are known for their lack of manners. One goose is flying northward at a level altitude of = 30.0 m above a north-south highway, when it sees a car ahead in the distance moving in the southbound lane and decides to deliver (drop) an "egg." The goose is flying at a speed of vg = 15.0 m/s, and the car is moving at a speed of vc = 100.0 km/h.
a) Given the details in the figure, where the separation between the goose and the cars windshield, d = 104.0 m, is specified at the instant when the goose takes action, will the driver have to wash the windshield after this encounter? (The center of the windshield is hc = 1.00 m off the ground.)
b) If the delivery is completed, what is the relative velocity of the "egg" with respect to the car at the moment of the impact?