(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.

If we through an object directly upward with the speed of 10 m/s from a height of 10 mabove the ground, determine:(a) The maximum height that the object reaches (with respect to ground)(b) The speed that it hits the ground(c) The total time of flight (going up and coming down)

1. You throw a ball off of the roof of a building with a velocity of 20 m/s directed an an angle of 60'above the horizontal. If the building is 30 m tall, find the following: (a) total air time (b) total horizontal distance travcled (c) maximum height reached (d) the speed at which the ball strikes the ground (e) (extra credit) the augle. which the ball strikes the ground 51% 71°F Sunny

37. (III) A stunt driver wants to make his car jump over 8 cars parked side by side below a horizontal ramp (Fig. 3–41). (a) With what minimum speed must he drive off the hori- zontal ramp? The vertical height of the ramp is 1.5 m above the cars and the horizontal distance he must clear is 22 m. (b) If the ramp is now tilted upward, so that “takeoff angle" is 7.0° above the horizontal, what is the new minimum speed? 22 m -1.5 m - Must clear this point! AAA. FIGURE 3-41 Problem 37.

(II) A boat, whose speed in still water is 2.50 m/s, must cross a 285-m-wide river and arrive at a point 118 m upstream from where it starts (Fig. 3–45). To do so, the pilot must head the boat at a 45.0° upstream angle. What is the speed of the river's current? +118 m→ Finish River `current 285 m 45.0° FIGURE 3-45 Start Problem 48. Path of boat

In putting, the force with which a golfer strikes a ball is planned so that the ball will stop within some small distance of the cup, say 1.0m long or short, in case the putt is missed. Accomplishing this from an uphill lie (that is, putting the ball downhill, see Fig. 2–47) is more difficult than from a downhill lie. To see why, assume that on a particular green the ball decelerates constantly at 1.8 m/s² going downhill, and constantly at 2.6 m/s² going uphill. Suppose we have an uphill lie 7.0 m from the cup. Calculate the allowable range of initial velocities we may impart to the ball so that it stops in the range 1.0 m short to 1.0 m long of the cup. Do the same for a downhill lie 7.0 m from the cup. What in your results suggests that the downhill putt is more difficult? Uphill lie Downhill 7.0 m lie - 7.0 m FIGURE 2-47 Problem 70.

A truck is traveling east at 82 km/h. At an intersection 34 km ahead, a car is traveling north at 60 km/h. (a) How long (in minutes) after this moment will the vehicles be closest to each other? b) How far apart will they be at that point (in km)?

46. (III) Suppose you adjust your garden hose nozzle for a hard stream of water. You point the nozzle vertically upward at a height of 1.5 m above the ground (Fig. 2-33). When you quickly move the nozzle away from the vertical, you hear the water striking the ground next to you for another 2.0 s. What is the water speed as it leaves the nozzle? 1.5 m FIGURE 2-33 Problem 46.

The rod is supported by ball-and-socket joint DD and cables ABAB, ACAC. Suppose that FFF = 600 NN and xxx = 6 mm. (Figure 1) Find the value for Tab, Tac, Dx, Dy, Dz The rod is supported by ball-and-socket joint D and cables AB, AC. Suppose that F = 600 N and x = 6 m . (Figure 1)

(II) In Fig. 2–44, (a) during what time periods, if any, is the velocity constant? (b) At what time is the velocity greatest? (c) At what time, if any, is the velocity zero? (d) Does the object move in one direction or in both directions during the time shown?