A stream of water emerges horizontally from firehouse at velocity of 15.0 m/s. If the nozzle is 10.0 m above the ground, find a. the time required for the water to reach the ground b. the horizontal distance traveled by the water
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- The water in a river flows uniformly at a constant speed of 2.50 m/s between parallel banks 80.0 m apart. You are to deliver a package directly across the river, but you can swim only at 1.50 m/s. (a) If you choose to minimize the time you spend in the water, in what direction should you head? (b) How far downstream will you be carried? (c) If you choose to minimize the distance downstream that the river carries you, in what direction should you head? (d) How far downstream will you be carried?During the quarantine period, your mother instructs you to water the plants in the garden using a hose. When you hold the hose near the ground, it shoots water at a speed of 3.5 m/s at an angle of 72 degrees above the horizontal. a. Determine the total time when water is in the air.Firefighters 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 firefighters 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?
- Water from a fire hose is directed toward a building as shown in the figure below. The water leaves the hose at a speed of vi = 40.0 m/s and at an angle of ?i = 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.A stream of water emerges horizontally from a fire hose at a velocity of 15 m/s. If the nozzle is 10 m above the ground, find (a) the time required for the water to reach the ground (b) the horizontal distance the water travels.Water leaves a fireman’s hose (held near the ground) with an initial velocity v0 = 16 m/s at an angle θ = 25.5° 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, as shown. a) Using v0, θ, and g, write an expression for the time, tmax, the water travels to reach its maximum vertical height. 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? Express this distance, d, in terms of v0, θ, and g.
- Water from a fire hose is directed toward a building as shown in the figure below. The water leaves the hose at a speed of vi = 40.0 m/s and at an angle of θi = 43.0° above the horizontal. The base of the hose (at ground level) is a horizontal distance d = 56.0 m away from the building. Find the height h (in m) where the water strikes the building.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.)A swimmer is capable of swimming 0.60m/s in stillwater. (a) If she aims her body directly across a 45-m-wideriver whose current is 0.50 m/s how far downstream (froma point opposite her starting point) will she land? (b) Howlong will it take her to reach the other side? (II) (a) At what upstream angle must the swimmer in above Problem aim, if she is to arrive at a point directly acrossthe stream? (b) How long will it take her?
- Water leaves a fireman’s hose (held near the ground) with an initial velocity v0 = 18 m/s at an angle θ = 33° 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. A) Using v0, θ, and g, write an expression for the time, tmax, the water travels to reach its maximum vertical height. 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? Express this distance, d, in terms of v0, θ, and g.A fireman d=53.0 m away from burnjng building directs a stream of water from a ground-level fire hose at an angle 29 degrees . If the speed of the stream as it leaves the hose is v_{i} = 40.0m / s at what height will the stream of water strike the buildingA firefighter, a distance d from a burning building, directs a stream of water from a fire hose at angle ?i above the horizontal as in the figure. If the initial speed of the stream is vi, at what height h does the water strike the building? (Use any variable or symbol stated above along with the following as necessary: g.)
