After spending an entire year together in an apartment, Grover and Elmo have decided to have some extended time apart in different parts of the state. When they get to the airport, they find out that there is a 65.000 km/hr wind that points 55.000 degrees E of S. Grover's plane flies for 75.000 minutes before arriving at his vacation destination, which is 60.000 km W and 150.000 km S of the airport. (a) Find the magnitude and direction of Grover's plane's velocity with respect to Earth in km/h. (b) Find the direction and magnitude of the velocity of Grover's plane with respect to the wind in km/h. (c) Draw a picture showing how the vectors add together graphically for Grover's plane during his trip. Clearly label each vector with its variable name as well as its magnitude and direction. (Hint: Make your picture large enough so that those labels are clearly visible.)
Please answer all the subparts.
After spending an entire year together in an apartment, Grover and Elmo have decided to have some extended time apart in different parts of the state. When they get to the airport, they find out that there is a 65.000 km/hr wind that points 55.000 degrees E of S.
Grover's plane flies for 75.000 minutes before arriving at his vacation destination, which is 60.000 km W and 150.000 km S of the airport.
(a) Find the magnitude and direction of Grover's plane's velocity with respect to Earth in km/h.
(b) Find the direction and magnitude of the velocity of Grover's plane with respect to the wind in km/h.
(c) Draw a picture showing how the vectors add together graphically for Grover's plane during his trip. Clearly label each vector with its variable name as well as its magnitude and direction. (Hint: Make your picture large enough so that those labels are clearly visible.)
(d) The plane that Elmo flew in has an airspeed of 45.000 km/hr. In what direction must the plane point so that it can travel E? If the plane cannot do so, clearly show and explain why.
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