Problem 12: A jet airplane flying from Darwin, Australia, has an air speed of 270 m/s in a direction 5.0° south of west. It is in the jet stream, which is blowing at 33 m/s in a direction 15° south of east. In this problem you are going to be asked about the velocity of the airplane relative to the Earth.
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- Use g = 10 m/s/s.There is a tree in the middle of your front yard and you take pictures of a squirrel as it runs around the tree. When you take the first picture, the squirrel is 12.0 m away from the tree in the direction 30.0° N of E. Twenty seconds later, you take a second picture of the squirrel when it is 7.50 m away from the tree in the direction 15.0° E of S. What is the magnitude and direction of the average velocity of the squirrel between the two pictures?An airplane takes 5 hours to travel a distance of 4800 miles with the wind. The return trip takes 6 hours against the wind. Find the speed of the plane in still air and the speed of the wind.
- You are the captain of the John Paul Jones, Class-A Battleship on your way to kill the alien ship on the North side of Oahu, Hawaii. Your ship travels 10.36km [W650S] and then 5.60 km [S450W] to meet up with the alien ship. Determine your ship’s total displacement.A vessel sets out from Delfzijl, The Netherlands, heading due north at 9.5 m/s relative to the water. The local ocean current is 1.50 m/s in a direction 40.0° north of east. What is the angle of the velocity of the vessel relative to the Earth in degrees N of E?A jet airliner is moving east at 225 m/s, but experiences a head wind heading north at 50.0 m/s. b) When determining speed of the airliner, does it have to do with calculating speed, based on the two "givens" to calculate the hypotenuse of a right triangle?
- An airplane takes 5 hours to travel a distance of 5400 miles with the wind. The return trip takes 6 hours against the wind. Find the speed of the plane in still air and the speed of the wind.Problem 5: During a baseball game, a baseball is struck at ground level by a batter. The ball leaves the baseball bat with an initial speed vo = 36 m/s at an angle 0 = 24° above horizontal. Let the origin of the Cartesian coordinate system be the ball's position the instant it leaves the bat. Air resistance may be ignored throughout this problem. Part (a) Express the magnitude of the ball's initial horizontal velocity vox in terms of vo and 9. Part (b)_Express the magnitude of the ball's initial vertical velocity voy in terms of vo and 9. Part (c) Find the ball's maximum vertical height hmax in meters above the ground. Part (d) Enter an expression in terms of vo, Û, and g for the time tmax it takes the ball to travel to its maximum vertical height. Part (e) Calculate the horizontal distance xmax, in meters that the ball has traveled when it returns to ground level.Water leaves a fireman’s hose (held near the ground) with an initial velocity v0 = 22 m/s at an angle θ = 28° above horizontal. Assume the water acts as a projectile that moves without air resistance. Use a Cartesian coordinate system with the origin at the hose nozzle position. A) Using v0, θ, and g, write an expression for the time, tmax, the water travels to reach its maximum vertical height. B) At what horizontal distance d from the building base, where should the fireman place the hose for the water to reach its maximum height as it strikes the building? Express this distance, d, in terms of v0, θ, and g.
- A jetliner can fly 6.8 hours on a full load of fuel. Without any wind it flies at a speed of 3.24 x 10² m/s. The plane is to make a round-trip by heading due west for a certain distance, turning around, and then heading due east for the return trip. During the entire flight, however, the plane encounters a 75.9-m/s wind from the jet stream, which blows from west to east. What is the maximum distance (in kilometers) that the plane can travel due west and just be able to return home? Number Units ◄►During a baseball game, a baseball is struck, at ground level, by a batter. The ball leaves the baseball bat with an initial speed v0 = 41.7 m/s at an angle theta = 40.5 degrees above the horizontal. Let the origin of the Cartesian coordinate system be the ball's position the instant it leaves the bat. Ignore air resistence throughout this problem. Enter an expression in terms of v0, theta, and g for the time it takes the ball to travel to its maximum veertical height.A sailboat moving in the direction shown is tacking to windward against a north wind. The log registers a hull speed of 6.7 knots. A "telltale" (light string tied to the rigging) indicates that the direction of the apparent wind is 33° from the centerline of the boat. What is the true wind velocity vw? 6.7 knots 430 330 Vw knots Answer: vw = i