8. A boat crossing a wide river moves with a speed of 13.0 km/h relative to the water. The water in the river has a steady speed of 6.00 km/h due north relative to the earth.a) If the boat heads due west, determine the speed of the boat relative to an observer standing on the shore.km/h9. b) What is the angle made between the velocity of the boat relative to the observer and the west direction?°10. c) At what angle against the steam must the boat be headed with respect to the west direction in order for it to proceed west as seen by the observer on the shore?

Peter throws a baseball through a houses window. He stands 3.4 m from the window. The ball starts in his hand 1.1m above the ground and goes through the window at a point 2.4 m off the ground. a. Sketch the problem, including an xy coordinate system with the origin on the ground directly below the initial position of the ball, the y axis pointing upward, and the x axis pointing toward the house. b. What are the initial and final coordinates of the ball?

(a) Another airplane is flying in a jet stream that is blowing at 45.0 m/s in a direction 20° south of east (as in Exercise 3.58). Its direction of motion relative to the Earth is 45.0° south of west, while its direction of travel relative to the air is 5.00° south of west. What is the airplane's speed relative to the air mass? (b) What is the airplane's speed relative to the Earth?

A golfer tees off from a location precisely at i = 35.0 north latitude. He hits the ball due south, with range 285 m. The balls initial velocity is at 48.0 above the horizontal. Suppose air resistance is negligible for the golf ball. (a) For how long is the ball in flight? The cup is due south of the golfers location, and the golfer would have a hole-in-one if the Earth were not rotating. The Earths rotation makes the tee move in a circle of radius RE cos i = (6.37 106 m) cos 35.0 as shown in Figure P6.47. The tee completes one revolution each day. (b) Find the eastward speed of the tee relative to the stars. The hole is also moving cast, but it is 285 m farther south and thus at a slightly lower latitude f. Because the hole moves in a slightly larger circle, its speed must he greater than that of the tee. (c) By how much does the holes speed exceed that of the tee? During the time interval the ball is in flight, it moves upward and downward as well as southward with the projectile motion you studied in Chapter 4, but it also moves eastward with the speed you found in part (b). The hole moves to the east at a faster speed, however, pulling ahead of the ball with the relative speed you found in part (c). (d) How far to the west of the hole does the ball land? Figure P6.47