A dog runs 220m on a bearing of 042° and then a further 180m on a bearing of 166°. Find the distance and the bearing on which the dog must run to return to the starting position.

A plane with a speed relative to still air of 78.5m/s is heading due south. After one hour an observer on the ground below sees that the plan has only traveled 255 km, and that the plane is 25.0°to the westof a direct path south. (a) What is the magnitude of the wind velocity? (b) What is the angle of the wind velocity relative to due west?

A light plane attains an airspeed of 490 km/h. The pilot sets out for a destination 790 km due north but discovers that the plane must be headed 19.0° east of due north to fly there directly. The plane arrives in 2.00 h. What were the (a) magnitude and (b) direction of the wind velocity? Give the direction as an angle relative to due west, where north of west is a positive angle, and south of west is a negative angle. (a) Number i (b) Number Units Units

. You tossed out a ball from a building at a height of 50.0 meter above the ground with an initial velocity of 9.00 m/s and angle of 25° to the horizontal. It strikes the ground after 5.00 seconds. With the positive x-direction chosen to be out of the window, how far horizontally from the base of the building does the ball strike the ground?

A marble is thrown horizontally with a speed of 12.0 m/s from the top of a building. When it strikes the ground, the marble has a velocity that makes an angle of 65 ° with the horizontal. From what height above the ground was the marble thrown?

An arrow is shot with an initial velocity of 63. m/s at an angle of 45° above the horizontal. What is the horizontal distance traveled during the flight?

A basketball player is shooting some hoops, on one particular shot the ball leaves her hands 12.5m horizonally away from the hoop, and 1.8m vertically off the ground.  Let's say she shoots a particular shot with a velocity of 12m/s at an angle of 51.4° with respect to the vertical (Assume no air resistance)

In the figure, a radar station detects an airplane approaching directly from the east. At first observation, the airplane is at distance d₁-320 m from the station and at angle 0₁ - 44° above the horizon. The airplane is tracked through an angular change A0 - 123° in the vertical east-west plane; its distance is then d₂ - 750 m. Find the (a) magnitude and (b) direction of the airplane's displacement during this period. Give the direction as an angle relative to due west, with a positive angle being above the horizon and a negative angle being below the horizon. (a) Number (b) Number W Units Units AP Airplane d₂ Radar dish

An airplane has an airspeed of 590 km/h bearing 49° north of east. The wind velocity is 60 km/h in the direction 32° north of west. Find the resultant velocity representing the path of the airplane with respect to the ground. What is the actual ground speed of the aircraft? km/h (Do not round until the final answer. Then round to the nearest tenth as needed.)

A plane flies at a speed of 360 mph on a bearing of S45°E. Relative to the ground, the plane's speed is measured as 335 mph with a true bearing of S35°E. Round answers to the nearest whole unit.