(II) Three vectors are shown in Fig. 3–35. Their magnitudes are given in arbitrary units. Determine the sum of the three vectors. Give the resultant in terms of (a) components, (b) magnitude and angle with the +x axis. y à (A = 44.0) 28.0° 56.0% FIGURE 3-35 Č (C = 31.0) Problems 9, 10, 11, 12, and 13. Vector magnitudes are given in arbitrary units. В (В %3 26.5)

y B (B=26.5) 56.0° A (A = 44.0) 28.0° C(C= 31.0) x 15. (II) For the vectors shown in Fig. 3-41, determine (a) B-2A, (b) 2A - 3B + 2C.

(II) A fire hose held near the ground shoots water at a speed of 6.5 m/s. At what angle(s) should the nozzle point in order that the water land 2.5 m away (Fig. 3–36)? Why are there two different angles? Sketch the two trajectories. FIGURE 3-36 Problem 23. 2.5 m–

(I). The motions of two objects, A and B, are defined by the following vectors: vector A = 6.0622i + 3.500j m/s vector B = 5.9500i - 10.3057j m/s unit vector of bullet = -j Object A and B left at the same time and at the same point. Object A aims to hit object B by firing a bullet in the direction stated above after 20 seconds. a). What should be the velocity of the bullet so that it will hit object B? b). What is the distance between object A and B the moment the bullet hits object B? c). What is the velocity vector of the bullet?

1. A basketball is shot from an initial height of 2.40 m (Fig. 3–57) with an initial speed vo = 12 m/s directed at an angle 00 = 35° above the horizontal. (a) How far from the basket was the player if he made a basket? (b) At what angle to the horizontal did the ball enter the basket? FIGURE 3–57 Problem 71. vo = 12 m/s 35° 10 ft = 3.05 m 2.40 m x = ?

63. The cliff divers of Acapulco push off horizontally from rock platforms about 35 m above the water, but they must clear rocky outcrops at water level that extend out into the water 5.0 m from the base of the cliff directly under their launch point. See Fig. 3-44. What minimum pushoff speed is necessary to clear the rocks? How long are they in the air? 35 m 5.0 m FIGURE 3-44 Problem 63.

Spymaster Chris, flying a constant 208 km/h horizontally in a low-flying helicopter, wants to drop secret documents into her contact's open car which is traveling 156 km/h on a level highway 78.0 m below. At what angle (with the hori- zontal) should the car be in her sights when the packet is released (Fig. 3–55)? _208 km/h 78.0 m 156 km/h FIGURE 3-55 Problem 67.

FIGURE 3-33 e Problem 7. west of north (Fig. 3–34). (a) Find the components of the velocity vector in the northerly and westerly direc- (835 km/h) tions. (b) How far north and how far west has the plane traveled after 1.75 h? 41.5 W FIGURE 3-34

(II) A rescue plane wants to drop supplies to isolated moun- tain climbers on a rocky ridge 235 m below. If the plane is traveling horizontally with a speed of 250 km/h (69.4 m/s), how far in advance of the recipients (horizontal distance) must the goods be dropped (Fig. 3–38)? Vx0 "Dropped" (vyo=0) 235 m FIGURE 3-38 Problem 31.