A fire hose ejects a stream of water at an angle of 30.7 ° above the horizontal. The water leaves the nozzle with a speed of 26.9 m/s. Assuming that the water behaves like a projectile, how far from a building should the fire hose be located to hit the highest possible fire?
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- A firefighting crew uses a water cannon that shoots water at 26.0 m/sm/s at a fixed angle of 53.0 ∘∘ above the horizontal. The firefighters want to direct the water at a blaze that is 12.0 mm above ground level. How far from the building should they position their cannon? There are two possibilities (d1<d2d1<d2); can you get them both? (Hint: Start with a sketch showing the trajectory of the water. Find d1 Find d2A projectile is launched from ground level with an initial speed of 53 m/s. Find the launch angle ( the angle the initial velocity vector is above the horizontal) such that the maximum height of the projectile is equal to its horizontal range. (Ignore any effects due to air resistance). Be sure to draw a picture that represents the projectile.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.
- A fire hose ejects a stream of water at an angle of 38.0degrees above the horizontal. The water leaves the nozzle with a speed of 23.6m/s. Assuming that the water behaves like a projectile, how far from a building should the fire hose be located to hit the highest possible fire?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.Skeet Shooting is an Olympic sport for rifle marksmen. A skeet is a clay target. A lady marksman goes out to practice and sets her skeet launcher at a position 25 meters north and 40 meters west from where she intends to stand. When she yells “Pull!”, a skeet is launched due East at an angle of 37 degrees above the ground with an initial speed, vo. The marksman only fires due north. Two seconds after she yells “Pull!”, the bullet from her gun hits the clay skeet in the air. At what height did the clay skeet shatter? Neglect air friction effects. {Use sin(37o) = 3/5; cos(37o) = 4/5; and g = 10 m/s2 }
- Skeet Shooting is an Olympic sport for rifle marksmen. A skeet is a clay target. A lady marksman goes out to practice and sets her skeet launcher at a position 25 meters north and 40 meters west from where she intends to stand. When she yells “Pull!”, a skeet is launched due East at an angle of 37 degrees above the ground with an initial speed, vo. The marksman only fires due north. Two seconds after she yells “Pull!”, the bullet from her gun hits the clay skeet in the air. At what height did the clay skeet shatter? Neglect air friction effects. {Use sin(37 degrees) = 3/5; cos(37 degrees) = 4/5; and g = 10 m/s2 }A tennis ball rolls off the edge of a tabletop 0.750 mm above the floor and strikes the floor at a point 1.60 mm horizontally from the edge of the table. A) Find the time of flight of the ball. B) Find the magnitude of the initial velocity of the ball. C) Find the magnitude of the velocity of the ball just before it strikes the floor. D) Find the direction of the velocity of the ball just before it strikes the floor.A fireman d = 49.0 m away from a burning building directs a stream of water from a ground-level fire hose at an angle of θi = 26.0° 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?m
- A group of collegiate golfers invent a game where they have to hit a golf ball up to the roof of a building that is about 23.76 m tall. The hole is 3.3 m away from the edge of the roof (label this in the figure). The roof is perfectly level all the way across. a) Isabella strikes the ball causing it to launch from the ground with an initial velocity of 22.70 m/s and at an angle of θ = 72.00 . Is it possible for Isabella to make her shot to the roof? Ignore wind resistance for part (a). b) Assuming that Isabella’s shot from part (a) made it to the roof and the shot is line up to go into the hole that is 3.30 m away from the edge of the roof. The golf ball has a mass of 45.93 g, and experiences a friction force of f=0.133 N. If the ball’s speed is larger than 5.90 m/s when at the hole it will be moving too fast and not go in. Will Isabella’s shot go into the hole? Explain why she does make or does not make it in the hole.A group of collegiate golfers invent a game where they have to hit a golf ball up to the roof of a building that is about 23.76 m tall. The hole is 3.3 m away from the edge of the roof (label this in the figure). The roof is perfectly level all the way across. a) Isabella strikes the ball causing it to launch from the ground with an initial velocity of 22.70 m/s and at an angle of θ = 72.00 . Is it possible for Isabella to make her shot to the roof? Ignore wind resistance for part (a). b) How far away from the edge of the building must Isabella stand to get the ball onto the roof (D=?)? Ignore wind resistance for part b. c) Assuming that Isabella’s shot from part (a) made it to the roof and the shot is line up to go into the hole that is 3.30 m away from the edge of the roof. The golf ball has a mass of 45.93 g, and experiences a friction force of f=0.133 N. If the ball’s speed is larger than 5.90 m/s when at the hole it will be moving too fast and not go in. Will Isabella’s shot go…A marble is launched from the edge of a table at a angle of 45 ° up from horizontal and goes through the air until it hits the floor. True or False? For such a marble, |vy| (the magnitude of the y-component of the velocity) is decreasing the entire time the marble is airborne. Group of answer choices