You spot a plane that is 1.50 km north, 2.5 km east, and at an altitude 5.0 km above your position. (a) how far from you is the plane? (b) at what angle from due north (in the horizontal plane) are you looking? (c) determine the plane’s position vector (from your location) in terms of the unit vectors, letting be to- ward the east direction, be toward the north direction, and be in vertically upward. (d) at what elevation angle (above the hori- zontal plane of earth) is the airplane?

Abasketball star covers 2.65 m horizontally in a jump to dunk the ball. his motion through space can be modeled precisely as that of a particle at his center of mass. his center of mass is at elevation 1.02 m when he leaves the floor. it reaches a maximum height of 1.90 m above the floor and is at elevation 0.910 m when he touches down again. (a) determine his time of flight (his "hang time"). (b) determine his horizontal velocity at the instant of takeoff. (c) determine his vertical velocity at the instant of takeoff. (d) determine his takeoff angle. (e) for comparison, determine the hang time of a whitetail deer making a jump with center-of-mass elevations yi = 1.20 m, ymax = 2.45 m, and yf = 0.750 m.