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You are taking flying lessons from an experienced pilot. You and the pilot are up in the plane, with you in the pilot seat. The control tower radios the plane, saying that, while you have been airborne, a 25-mi/h crosswind has arisen, with the direction of the wind perpendicular to the runway on which you plan to land. The pilot tells you that your normal airspeed as you land will be 80 mi/h relative to the ground. This speed is relative to the air, in the direction in which the nose of the airplane points. He asks you to determine the angle at which the aircraft must be “crabbed.” that is, the angle between the centerline of the aircraft and the centerline of the runway that will allow the airplane’s velocity relative to the ground to be parallel to the runway.
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Chapter 4 Solutions
Bundle: Physics For Scientists And Engineers With Modern Physics, 10th + Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Multi-term
- A woman is on a train leaving the station at 3.0 m/s, while a friend waving goodbye runs alongside the car she's in. Call the train's direction of motion the +z direction. 60°F ▼ ▼ Part A Uz,w= 1 If the friend is running at 7.0 m/s and moving in the same direction as the train, how fast must the woman walk, and in which direction, to keep up with him? Express your answer with the appropriate units. Submit Part B μA Value Request Answer μA @ 9 Units Once the train has reached a speed of 10 m/s, how fast must the woman walk, and in which direction, to keep up with her friend? Express your answer with the appropriate units. ? 5 of 12 C? Reviewarrow_forwardere to search The Lost Drone. You and your team are exploring the edge of an Antarctic mountain range and you send a drone ahead to help navigate. After takeoff you lose sight of the drone and, a few seconds later, the controls malfunction and the drone stops sending visual images and navigational information except for speed and directional data. Changing speeds erratically, the drone heads west until it makes a drastic turn at the 5-minute mark to ß-35° east of south. After nearly ten minutes, the speed drops to zero and the drone stops sending data. It has crashed. Using the speed/directional data, the team draws up the graph shown below. (a) How far is the drone from you? (b) In what direction must you go to retrieve it? Express your result as a geographical direction west of south. 20 Ri Velocity v (m/s) 15 10 E 100 WEST 200 300 Bo East of South 400 500 -71 E 600 *** 34°F Clear S 6:21 1/21/arrow_forwardA relief airplane is delivering a food package to a group of people stranded on a very small island. The island is too small for the plane to land on, and the only way to deliver the package is by dropping it. The airplane flies horizontally with constant speed of 352 km/hour at an altitude of 875 m . The positive x and y directions are defined in the figure. For all parts, assume that the "island" refers to the point at a distance D from the point at which the package is released, as shown in the figure. Ignore the height of this point above sea level. Assume that the free-fall acceleration is g = 9.80 m/s2 After a package is dropped from the plane, how long will it take for it to reach sea level from the time it is dropped? Assume that the package, like the plane, has an initial velocity of 352 km/hour in the horizontal direction. Express your answer numerically in seconds. Neglect air resistance. If the package is to land right on the island, at what horizontal distance D from…arrow_forward
- A relief airplane is delivering a food package to a group of people stranded on a very small island. The island is too small for the plane to land on, and the only way to deliver the package is by dropping it. The airplane flies horizontally with constant speed of 352 km/hour at an altitude of 875 m . The positive x and y directions are defined in the figure. For all parts, assume that the "island" refers to the point at a distance D from the point at which the package is released, as shown in the figure. Ignore the height of this point above sea level. Assume that the free-fall acceleration is g = 9.80 m/s2 . The speed at which the package hits the ground is really fast! If a package hits the ground at such a speed, it can be crushed and also cause some serious damage on the ground. Would it help to decrease the speed with which the package hits the ground by increasing or decreasing the plane's speed and height?arrow_forwardA boat travels down a river. Relative to the riverbank, the water moves at a constant speed of 22 m/s in a direction of 60° NW. A woman on the boat drops a flask into the river. After 1.2 seconds, the woman noticed the flask, moving with the water, had traveled 18 m in a direction of 20° SE. A REMINDER: A velocity is a magnitude and direction Relative to the riverbank, what is the velocity of the boat? Draw a bird’s eye view, from the boat’s perspective, displaying the other objects velocities (The water, the riverbank, and the flask)arrow_forwardA projectile is launched at an angle of 45° to the horizontal from 6 ft above the ground at an initial speed of 300 ft/sec. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the object. Answer parts a through d. a. Find the velocity and position vectors for t20. The velocity vector is v(t) = ( 150/2, - 32t + 150/2). The position vector is r(t) = 150/2t - 16tarrow_forward
- In 1987, as a Halloween stunt, two sky divers passed a pumpkin back and forth between them while they were in free fall just west of Chicago.The stunt was great fun until the last sky diver with the pumpkin opened his parachute. The pumpkin broke free from his grip, plummeted about 0.5 km, ripped through the roof of a house, slammed into the kitchen floor, and splattered all over the newly remodeled kitchen. From the sky diver’s viewpoint and from the pumpkin’s viewpoint, why did the sky diver lose control of the pumpkin?arrow_forwardIn your new job, you are the technical advisor for the writers of a gangster movie about Bonnie and Clyde. In one scene Bonnie and Clyde try to flee from one state to another. If they get across the state line, they could evade capture, at least for a while until they become Federal fugitives. In the script, Bonnie is driving down the highway at 108 km/hr and passes a concealed police car that is 1 km from the state line. The instant Bonnie and Clyde pass the patrol car, the cop pulls onto the highway and accelerates at a constant rate of 2 m/s2. The writers want to know if they make it across the state line before the pursuing cop catches up with themarrow_forwardAn airline's navigator determines that the jet is flying 475 mph with a heading of N 42.5° W, but the jet is actually moving at 465 mph in a direction of N 37.7° W. What is the velocity of the wind?arrow_forward
- A man flies a small airplane from Fargo to Bismarck, North Dakota a distance of 180 miles. Because he is flying into --- a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1 hour 12 minutes. What is his speed in still air, and how fast is the wind blowing? Your answer is his speed equals the wind speed equalsarrow_forwardWhile traversing a two-lane highway, the driver observes a girl, 60 m ahead, at the edge of the traveled way of the opposite direction about to cross the road. The lane width of the traveled way is 3.5 m. The vehicle is 2 m wide and 3 m long. The speed of the vehicle is 75 kph and the walking speed of the girl is 1.5 m/s. The vehicle is traveling along the centerline of the traveled way. Asssume that the driver's PR time is 0.8 sec and the coefficient of friction between the vehicle tires and the pavement is 0.4. a. If the roadway is level, will the girl be able to corss the road safely? b. If the roadway has down grade of 0.5%, what is the coefficient of friction between the tires and the pavement required so that the driver won't hit the girl? c. Using the original coefficient of friction between vehicle tires and the pavement, at what roadway grade is the vehicle traversing such that the vehicle was just able to stop without hitting the girl?arrow_forwardA car is traveling horizontally at 28.7 m/s at the moment it drives off the top of a cliff. The car strikes the ground 0.538 seconds after leaving the top of the cliff. Assuming air-resistance can be ignored, how tall is the cliff?arrow_forward
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