While watching the clouds pass by, you notice a European swallow flying horizontally h = 21.2 m above you. When the swallow is directly overhead, it drops a m = 10.9 kg coconut. From your ornithological studies, you know that the air-speed of this particular species of swallow while carrying such a load is v0 = 6.27m/s.
Calculate the magnitude of the angular momentum L of the coconut in kg x m2/s as observed by you at the moment that it is released directly overhead.
Develop an expression for the x component of the radius vector rx(t) (in meters) of the coconut with respect to you as a function of the given information, the free-fall time t, and variables available in the palette. Let t = 0 be the moment that the coconut is released. Express your answer in unit vector notation.
Develop an expression for the velocity vector v(t) in m/s) of the coconut as a function of the given information, the free-fall time t, and variables available in the palette. Let t = 0 be the moment that the coconut is released. Express your answer in unit vector notation.
Calculate the magnitude of the angular momentum L of the coconut in kg x m2/s as observed by you one second after it is released directly overhead (t = 1 sec).
Calculate the magnitude of the angular momentum L of the coconut in kg x m2/s as observed by you immediately before it hits the ground.