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q1)A rugby player runs with the ball directly toward his opponent's goal, along the positive direction of an x axis. He can legally pass the ball to a teammate as long as the ball's velocity relative to the field does not have a positive x component. Suppose the player runs at speed 3.7 m/s relative to the field while he passes the ball with velocity BP relative to himself. If BP has magnitude 5.2 m/s, what is the smallest angle it can have for the pass to be legal? Q2)Two ships, A and B , leave port at the same time. Ship A travels northwest at 25 knots and ship B travels at 35 knots in a direction 40° west of south. (1 knot = 1 nautical mile per hour; (a) What is the magnitude the velocity of ship A relative to B ? (b) What is the direction of the velocity of ship A relative to B ? (c) After what time will the ships be 135 nautical miles apart? (d) What will be the bearing of B (the direction of B 's position) relative to A at that time?(west of south) Q3After flying for 15 min in a wind blowing 42 km/h at an angle of 34 ° south of east, an airplane pilot is over a town that is 40 km due north of the starting point. What is the speed of the airplane relative to the air? Q4A particle moves along a circular path over a horizontal xy coordinate system, at constant speed. At time t 1 = 2 s, it is at point ( 4.00 m, 9.00 m) with velocity ( 2.10 m/s) and acceleration in the positive x direction. At time t 2 = 7 s, it has velocity ( -2.1 m/s) and acceleration in the positive y direction. What are the coordinates of the center of the circular path?

q1)A rugby player runs with the ball directly toward his opponent's goal, along the positive direction of an x axis. He can legally pass the ball to a teammate as long as the ball's velocity relative to the field does not have a positive x component. Suppose the player runs at speed 3.7 m/s relative to the field while he passes the ball with velocity vector v BP relative to himself. If vector v BP has magnitude 5.2 m/s, what is the smallest angle it can have for the pass to be legal?


 


Q2)Two ships, A and B, leave port at the same time. Ship A travels northwest at 25 knots and ship B travels at 35 knots in a direction 40° west of south. (1 knot = 1 nautical mile per hour;


(a) What is the magnitude the velocity of ship A relative to B?


(b) What is the direction of the velocity of ship A relative to B?


(c) After what time will the ships be 135 nautical miles apart?


(d) What will be the bearing of B (the direction of B's position) relative to A at that time?(west of south)


 


Q3After flying for 15 min in a wind blowing 42 km/h at an angle of 34° south of east, an airplane pilot is over a town that is 40 km due north of the starting point. What is the speed of the airplane relative to the air?


Q4A particle moves along a circular path over a horizontal xy coordinate system, at constant speed. At time t1 = 2 s, it is at point (4.00 m, 9.00 m) with velocity (2.10 m/s)jhat and acceleration in the positive x direction. At time t2 = 7 s, it has velocity (-2.1 m/s)ihat and acceleration in the positive y direction. What are the coordinates of the center of the circular path?

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