A camera operator is filming a nature explorer in the Rocky Mountains. The explorer needs to swim across a river to his campsite. By watching debris flowing down the river, the operator estimates that the stream is flowing at 0.625 m/s0.625 m/s . In still water, the explorer can swim at 0.735 m/s0.735 m/s . At what angle, less than 90°, with respect to the shoreline should the operator advise him to swim so that he travels directly across the stream to his campfire The water is near freezing in temperature. Typically a human can only swim in such water for about 300 s300 s (or 5 min5 min ) before hypothermia sets in. Calculate the time the explorer spends in the water if the river is 27.9 m27.9 m wide.

Athena is planning a flight from Toronto to Montreal, which lies due east of Toronto. Her aircraft flies at a speed of 800.0 km/h in still air. A wind of 50.0 km/h is blowing from [W 30.0° N]. In what direction must she aim the airplane to fly directly to Montreal ?

Brandon is on one side of a river that is 60 m60 m wide and wants to reach a point 300 m300 m downstream on the opposite side as quickly as possible by swimming diagonally across the river and then running the rest of the way. Find the minimum amount of time if Brandon can swim at 2 m/s2 m/s and run at 4 m/s.

A small, battery-powered, electric motorboat that can travel at a speed of 1.80 m/s in still water is operating in a river with a flow speed of 1.35 m/s. For each of the following two cases, determine the requested information for a river that is 220 m wide. (a) Case 1: when the boat is pointed straight across the river, determine the speed Vbl of the boat as viewed by someone on land, the distance d the boat is swept downstream before reaching the other side, and the time t it takes the boat to make the crossing. Vbl = m/s d = t1 = (b) Case 2: if the boat operator wants to land the boat straight across the river from the launch site, determine the speed Vbl of the boat as viewed by someone on land, the angle ß upstream at which the boat should be pointed, and the time t2 it takes the boat to make the crossing. Vbl = m/s ß = t2 = S

A daredevil decides he wants to try and dive off the golden gate bridge . If it takes him 12 sec to hit the water, how high was the bridge from the water ?

Question 20 of 20 < 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 100 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 (b) Number i Units Units UNITS CHOICES: no units, degrees, s,…

An athlete crosses a 29 m wide river by swimming perpendicular to the water current at a speed of 1.1 m/s relative to the water. He reaches the opposite side at a distance 45 m downstream from his starting point. w = 29 md = 45 mvs = 1.1 m/s Part (a) How fast is the water in the river flowing with respect to the ground in m/s? Part (b) What is the speed of the swimmer with respect to a friend at rest on the ground in m/s?

A skydiver jumped out of a plane to shoot a skydiving scene for a certain spy movie. At what point in time should this spy-wannabe open his parachute when he is aware that the plane was at the altitude of (3428.63)m and he needs to open it at a height of (354.41)m?

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 100 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 (b) Number i Units Units

given p1=68 p2=92 p3= 132n, what is the direction and magnitude of the resultant?