A falcon with a mass m1=1.29 kg is diving at a speed of v1=22.2 m/s at an angle of θ= 59.5 degrees below horizontal. Note that x is horizontal and y is vertical, as shown in the diagram. A pigeon, whose mass is m2= 0.68 kg, is flying in the positive x direction at a speed of v2= 6.7 m/s. The falcon catches the pigeon, and they move as one. Neglect gravity and air resistance. a) Write an expression for the x component of the final velocity. b) Write an expression for the y component of the final velocity. c) What is the magnitude, in meters per second, of the final velocity? d) What is the angle, in degrees below the horizontal, that the final velocity makes with the x axis?

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Chapter1: Units, Trigonometry. And Vectors
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A falcon with a mass m1=1.29 kg is diving at a speed of v1=22.2 m/s at an angle of θ= 59.5 degrees below horizontal. Note that x is horizontal and y is vertical, as shown in the diagram. A pigeon, whose mass is m2= 0.68 kg, is flying in the positive x direction at a speed of v2= 6.7 m/s. The falcon catches the pigeon, and they move as one. Neglect gravity and air resistance.

a)  Write an expression for the x component of the final velocity. 

b)  Write an expression for the y component of the final velocity. 

c)  What is the magnitude, in meters per second, of the final velocity? 

d)  What is the angle, in degrees below the horizontal, that the final velocity makes with the x axis? 

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