(II) An airplane is heading due south at a speed of 688 km/hIf a wind begins blowing from the southwest at a speed of 90.0 km/h (average), calculate (a) the velocity (magnitude and direction) of the plane, relative to the ground, and (b) how far from its intended position it will be after 11.0 min if the pilot takes no corrective action.    (II) In what direction should the pilot aim the plane in the above Problem so that it will fly due south?

.  25) A car is 2.0 km west of a traffic light at t = 0 and 5.0 km east of the light at t = 6.0 min. Assume the origin of the coordinate system is the light and the positive x direction is eastward. (a) What are the car’s position vectors at these two times? (b) What is the car’s displacement between 0 min and 6.0 min?

18. (1) A diver running 1.8 m/s dives out horizontally from the edge of a vertical cliff and 3.0 s later reaches the water below. How high was the cliff, and how far from its base did the diver hit the water?

On a training exercise, an airplane is flying horizontally. Under the angle of 0 60 below the horizontal, its radar detects a remotely controlled truck moving with a constant velocity in the airplane’s direction. An airplane drops a bomb hitting the truck after 0.5 min during which the truck covered a distance of 0.9 km. Air resistance may be ignored. (c) What is the speed of an airplane? (d) At what angle, with respect to the direction of truck’s velocity, does a bomb hit a truck? Ans c 115 m/s d -68.7.

A stone is thrown from the top of a building upward at an angle of 30.0 to the horizontal with an Initial speed of 20.0 m/s as shown in Fig. If the height of the building is 45.0m. 1.how long does it take the stone to reach the ground( 2) What is the speed of the stone just before it strikes the ground?

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

7) An owl is carrying a mouse to the chicks in its nest. It is 4.00 m west and 12.0 m above the center of the 30 cm diameter nest and is flying east at 3.50 m/s at an angle 28° below the horizontal when it accidentally drops the mouse. Will it fall into the nest? Find out by solving for the horizontal position of the mouse (measured in meters from the point of release) when it has fallen the 12.0 m.

In heavy rush-hour traffic, you drive in a straight line at 12 m/s for 1.5 minutes, then you have to stop for 3.5 minutes, and finally, you drive at 15 m/s for another 2.5 minutes. Plot a position-versus-time graph for this motion. Your plot should extend from t = 0 minutes to t = 7.5 minutes. Assume x=0 and t=0 at the start of your motion.