An adventurer paddles a kayak across the current in wild river. She appears to an observer sitting on the riverbank to be travelling directly across the river at 90° to the riverbank, and the water velocity is parallel to the riverbank (in other words, downstream). To do this she must paddle at a constant velocity of 1.8 m/s relative to the water at an angle of 28° from the upstream direction. The river is 76 m wide. What is the speed of the water current? From the given options

Your answer is partially correct. A Water Balloon Battle. You are launching water balloons at a rival team using a large slingshot. The other team is set up on the opposite side of a flat-topped building that is 30.0 ft tall and 50.0 ft wide. Your reconnaissance team has reported that the opposition is set up 10.0 m from the wall of the building. Your balloon launcher is calibrated for launch speeds that can reach as high as 120 mph at angles between 0 and 85.0° from the horizontal. Since a direct shot is not possible (the opposing team is on the opposite side of the building), you plan to splash the other team by making a balloon explode on the ground near them. If your launcher is located 55.0 m from the building (opposite side as the opposing team), what should your launch velocity be ((a) magnitude and (b) direction) to land a balloon 5.0 meters beyond the opposing team with maximum impact (i.e. maximum vertical speed)? (a) Number i 34.14 (b) Number i 25.47 Units Units m/s V

Swimming at 2.00 m/s relative to still water, a swimmer heads directly across a river of width 75 m. He arrives 40.0 m downstream from the point directly across the river from his starting point.(a) What is the speed of the current in the river? (b) At what angle relative to the line perpendicular to the shore should he head to arrive at a point directly opposite his starting point?

A ship sets sail from Rotterdam, heading due north at 7.00 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 velocity of the ship relative to Earth?