A boat going 10 m/s relative to the water crosses a river flowing 2 m/s downstream. The river is 600 meters wide. How long does it take to cross the river? How far downstream does it go?

An airplane flies due north through the air at a speed of  75 m/s in a wind from the west at 10 m/s. What is the ground speed of the plane and what direction will it go?

Two boat landings are 3.0 km apart on the same bank of a stream that flows at 2.3 km/h. A motorboat makes the round trip between the two landings in 50 minutes. What is the speed ? of the boat relative to the water?

The operator of a boat wishes to cross a 5-km wide river that is flowing to the east at 10 m/s. He wants to reach the exact point on the opposite shore 15 min after starting. With what speed and in what direction should the boat travel?

An airplane travelling horizontally at 68 m/s at an elevation of 230 m drops bales of hay to cows stranded in a snowstorm. At what horizontal distance from the cow should the bales of hay be dropped?

One of the tasks of the Mighty Hercules was to protect the town of Nemea from a lion.  One day Hercules sees the lion 320 feet away.  He strings his bow and lets an arrow fly.  The arrow leaves his bow travelling at 210 feet per second from a height of 6 feet.  He wants to hit the lion in the neck above the shoulders which is 4 feet off of the ground.   determine the launch angle that will hit the Lion. Find the right angle.

A boat whos speed in still water is 5.0m/s headed west across a river. The river current is 2.5m/s south. If the river is 2395 wide, how long does it take the boat to cross the river.

A stunt car leaves a 15° upward ramp at 35. The car jumps over a ravine and lands on the other side at 5 m S below the height from which it was launched. a) What is the maximum width of the ravine? (Answer: 77.5 m) b) What is the impact velocity of the car in magnitude and angle? (Answer: 36@21° below x)

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?

After flying for 20 min in a wind blowing 39 km/h at an angle of 22° south of east, an airplane pilot is over a town that is 60 km due north of the starting point. What is the speed of the airplane relative to the air?