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the balloon is rising vertically at 4.0 m/s. Wind is blowing from east to west at 3.0m/s. Find the resultant velocity of the balloon.
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- Firemen use a high-pressure hose to shoot a stream of water at a burning building. The water has a speed of 25.0 m>s as it leaves the end of the hose and then exhibits projectile motion. The firemen adjust the angle of elevation a of the hose until the water takes 3.00 s to reach a building 45.0 m away. Ignore air resistance; assume that the end of the hose is at ground level. (a) Find a. (b) Find the speed and acceleration of the water at the highest point in its trajectory. (c) How high above the ground does the water strike the building, and how fast is it moving just before it hits the building?A plane is headed due east with air speed 240kph. If a wind of 40kph is blowing from the north, find the ground speed of the plane.On a day when the wind is blowing toward the south at 5 m/s, a runner jogs east at 7 m/s. What is the velocity (speed and direction) of the air relative to the runner?If a water particle in a stream of water in a fountain takes 0.35s to travel from spout to receptacle when shot at an angle of 67 degrees and an initial speed of 5.0 m/s, what is the vertical distance between the levels of the fountain.Firemen are shooting a stream of water at a burning building using a high-pressure hose that shoots out the water with a speed of 25.0 m/sm/s as it leaves the end of the hose. Once it leaves the hose, the water moves in projectile motion. The firemen adjust the angle of elevation αα of the hose until the water takes 3.00 ss to reach a building 45.0 mm away. You can ignore air resistance; assume that the end of the hose is at ground level.A garden hose is laying on the ground while the valve is opened. The nozzle of the hose is shooting the water upwards in an angle of 21°. The initial speed of the water spray is 20 m/s. There is a wall 8.0 m away. How high on the wall the water spray hits?Firemen are shooting a stream of water at a burning building using a high-pressure hose that shoots out the water with a speed of 25.0 m/s as it leaves the end of the hose. Once it leaves the hose, the water moves in projectile motion. The firemen adjust the angle of elevation θ of the hose until the water takes 3.0 s to reach a building 45.0 m away. You can ignore air resistance; assume that the end of the hose is at ground level. (a) Find the angle of elevation θ. Hint Answer: θ = 53.1◦(b) Find the speed, v and acceleration a of the water at the highest point in its trajectory. (c) How high above the ground does the water strike the building, and how fast is it moving just before it hits the building? Hint Answer: y = 15.9 m and v = 17.7 m/sOn a day when the wind is blowing toward the south at 3 m/s, a runner jogs west at 4 m/s. What is the velocity (speed and direction) of the air relative to the runner?A plane is headed due west with an air speed of 207 m/s. The wind blows south at 20.0 m/s. Find the velocity of the plane relative to the earth.To solve this problem it will be necessary to determine the plane's velocity relative to the the air. What is the plane's east-west velocity relative to the air? (Define the positive direction to be east.)Additionally, to solve this problem it will be necessary to determine the air's velocity relative to the earth. What is the air's north-south velocity relative to the earth? (Define the positive direction to be north.)Water leaves a fireman’s hose (held near the ground) with an initial velocity v0 = 10.5 m/s at an angle θ = 31.5° above horizontal. Assume the water acts as a projectile that moves without air resistance. Use a Cartesian coordinate system with the origin at the hose nozzle position. Part (a) Using v0, θ, and g, write an expression for the time, tmax, the water travels to reach its maximum vertical height. Part (b) At what horizontal distance d from the building base, where should the fireman place the hose for the water to reach its maximum height as it strikes the building?Water from a fire hose is directed toward a building. The water leaves the hose at a speed of vi = 40.0 m/s and at an angle of Øi = 35.0° above the horizontal. The base of the hose (at ground level) is a horizontal distance d= 51.0 m away from the building. Find the height h (in m) where the water strikes the building.SEE MORE QUESTIONS