A cyclist traveling southeast along a road at 15 km/h feels a wind blowing from the southwest at 25 km/h. To a stationary observer, what are the speed and direction of the wind?

A hot air balloon is drifting east at 53 km h-1 . Due to a cross wind, its resultant velocity is 42 km h-1 in a 25° direction. What is the speed and direction of the cross wind?

A child walks due east on the deck of a ship at 2 miles per hour.The ship is moving north at a speed of 8 miles per hour. Find the speed and direction of the child relative to the surface of the water.

A ship sets sail from Rotterdam, The Netherlands, intending to head due north at 7.5 m/s relative to the water. However, the local ocean current is 1.50 m/s in a direction 40.0º north of east and changes the ship's intended motion. In what direction would the ship have to travel in order to have a resulant velocity straight north relative to the earth, assuming the speed relative to the water reamins 7.5 m/s? Specicify the angle west of north, relative to earth? And what would the ship's speed be relative to the Earth, in meters per second

Two cars approach each other at an intersection. Car A is traveling south at 30 m/s, while car B is traveling 70 degrees north of east at 50 m/s. What is the speed (in m/s) of car A as seen by the driver of car B?

An airplane takes 5 hours to travel a distance of 4500 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.

Fort Gaines guards the western entrance to Mobile Bay. In order to prevent enemy ships from passing, it needs to be able to cover about 1 km of the bay with cannon fire. The cannons fire projectiles horizontally at a speed of 460 m/s. How high must the cannons be located above the ground in order for their projectiles to travel 1 km horizontally?

Two speedboats are traveling at the same speed relative to the water in opposite directions in a moving river. An observer on the riverbank sees the boats moving at 4.0 m/s and 5.0 m/s. (a) What is the speed of the boats relative to the river? (b) How fast is the river moving relative to the shore?

A plane is flying at 425 km/h [E 60 o S] relative to the air when the wind velocity is 60 km/h [E 50 o N]. Calculate the velocity of the plane relative to the ground.

An airplane has an air speed of 267 miles per hour and a compass heading of 140°. A steady wind of 54 miles per hour is blowing in the direction of 183°. What is the plane's true speed relative to the ground? What is its compass heading relative to the ground? W. 270° ... The groundspeed is miles per hour. (Round to the nearest integer as needed.) 270 240 300 320 072 N, 0° 340 1 opz 081 091 S, 180° 09 90 1 100 120 140 E, 90°