A swimmer heading directly across a river 200. m wide reaches the opposite bank in 6.0 min 40. s. She is swept downstream 480. m. What is the speed of the current?
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- A swimmer jumps into a river and swims straight for the other side at 1.5km/h [N] relative to the water. There is a current in the river 2.0km/h [W]. What is the swimmer's velocity relative to the shore?A rowboat crosses a river with a velocity of 3.48 mi/h at an angle 62.5° north of west relative to the water. The river is 0.870 mi wide and carries an eastward current of 1.25 mi/h. How far upstream is the boat when it reaches the opposite shore? ftA fireman d = 54.0 m away from a burning building directs a stream of water from a ground-level fire hose at an angle of ?i = 22.0° above the horizontal as shown in the figure. If the speed of the stream as it leaves the hose is vi = 40.0 m/s, at what height will the stream of water strike the building?
- Problem 1.A boat traveling east covers a distance of 40.0 m in 20.0 s. It encounters a current moving at a speed of 2.50 m/s traveling north. Find the resultant velocity of the boat. 2.A riverboat travels with a velocity of 4.60 m/s from one shore to another. The velocity of the river is 2.30 m/s. If the width of the river is 72.0 m, how far does the boat travel downstream to reach the other shore? 3. A bus travels from west to east with a velocity of 11.5 m/s. A marble rolls on the surface of the bus floor with a velocity of 0.200 m/s north. What is the velocity of the marble relative to the road? 4. A human cannonball is launched from a cannon at 20 m/s at 45° above the horizontal. What is the maximum height of the human cannonball? 5. A human cannonball is launched from a cannon at 20 m/s at 45° above the horizontal. What is the range of the human cannonball? 6. A football is kicked from a tee at 12 m/s at 72° above the horizontal. What is the flight time of the football? 7. An…A jetliner can fly 6.8 hours on a full load of fuel. Without any wind it flies at a speed of 3.24 x 10² m/s. The plane is to make a round-trip by heading due west for a certain distance, turning around, and then heading due east for the return trip. During the entire flight, however, the plane encounters a 75.9-m/s wind from the jet stream, which blows from west to east. What is the maximum distance (in kilometers) that the plane can travel due west and just be able to return home? Number Units ◄►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
- An airplane with a speed of 40 km/h is heading 78º east of north with a wind blowing west at 18 km/h. What is the speed of the airplane relative to the ground?A ball is thrown from a height of 5.0 mm above the ground, and its initial velocity is 3.9 m/sm/s in the horizontal direction... How far away (in the horizontal direction) is the ball when it lands?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 fireman d = 38.0 m away from a burning building directs a stream of water from a ground-level fire hose at an angle of ?i = 22.0° above the horizontal as shown in the figure. If the speed of the stream as it leaves the hose is vi = 40.0 m/s, at what height will the stream of water strike the building?In a basketball game, the point guard A intends to throw a pass to the shooting guard B, who is breaking toward the basket at a constant speed of 10 ft/sec. If the shooting guard is to catch the ball at a height of 6.6 ft at C while in full stride to execute a layup, determine the speed vo and launch angle with which the point guard should throw the ball. A Answers: Vo = VO 0 = 0 i i 5.5' 43' 10 ft/sec B ft/sec O 25' 6.6'8