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3-1 Vectors Vector A has a magnitude of 50 units and points in the +x direction. Vector B has a magnitude of 120 units and points at an angle of 70 below the x-axis. Which vector has (a) the greater x component, and (b) the greater y component? 3-2 Vectors Vector A points in the negative y direction and has magnitude 5 units. Vector B has twice the magnitude and points in the positive x direction. Find he direction and magnitude of (a) A + B, (b) A - B, and (c) B - A. 3-3 Displacement Vectors What are the direction and magnitude of your total displacement if you have traveled due west with a speed of 27 m/s for 125 s, then due south at 14 m/s for 66 s? 3-4 Vector Components Find the x, y, and z components of the vector A shown in Fig. 3-4, given that A = 65m. 550 350 Fig. 3-4 3-5 Projectile Motion Playing shortstop you pick up a ground ball and throw it to second base. The ball is thrown horizontally, with a speed of 22 m/s, directly toward point A in Fig. 3-5 When the ball reaches the second baseman 0.45 s later, it is caught at point B (a) How far were you from the second baseman? (b) What is the vertical drop, AB? Fig. 3-5Answers fro Problem Sets I (Ch. 1 & 2) and II (Ch. 3) 1-1 1.37 x 108 calcs/us 2-1 d = 15.0 m Ax = 10.0 m 1-2 18.1 ft3 2-2 6.03 m/s 1-3 3.00 x 108 m/s 2-3 (a) Graph (parabola) 1-4 ~ 105 seats (b) -2.00 m/s = Vave (c) 2.00 m/s = Vave 1-5 6.75 x 10-4 mm 2.66 x 10-5 in. 2-4 (a) 2.00 m/$2 (b) 0.00 m/$2 (c) -0.500 m/$2 2-5 t = 5.83 s 2-6 a = 3.84 x 104 m/$2 2-7 (a) t = 5.71 s (b) a = -0.175 m/s (c) v = 2.16 m/s (i.e. more than 2.1 m/s) 2-9 (a) vo = 24.8 m/s (b) t = 0.702 s by quad. Formula 2-8 t = 2.73 s 3-1 A has greater x-comp. 3=6 (a) y = 1.41 m B has greater y-comp. (b) Vertical time depends only on vertical height and g 3-2 (a) A + B= 11.2 at 0 =-26.6 (b) A - B = 11.2 at 0 = 207 3-7 Vo = 24.8 m/s (c) B - A = 11.2 at 0 = 26.6 3-8 (a) Voy = 849 m/s 3-3 Displakm at 0 = 15.3 S of W (b) Ay = 3.67 x 104 m i.e. less, due to greater g on Earth 3-4 Az = 37.3 m Ax = 43.6 m 3-9 (a) Ax = 1.52 m Ay = 30.5 m (b) v = 4.04 m/sy 3-5 (a) x = 9.90 m 3-10 0 = 76.0 (b) y = 0.993 m 3-11 (a) 0 = 11.0 W of N (b) Decr. speed means increased e