Parabolic Trajectory Of Water Stream

If you have not yet started, can you show me what you already know about the problem?In summary, the equation y = -0.003x^2 + 0.58x + 3 can be used to model the stream of water from a water hose, where x and y represent the distance in feet. A firefighter holding the hose 3 feet above the ground and 137 feet from a building is trying to determine if the stream of water will pass through a window located 26 feet above the ground. To solve this word problem, it is necessary to analyze the graph and plug in the given values to see if the resulting y-value is greater than 26, indicating that the water will pass through the window.
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A stream of water from a water hose can be modeled by the graph of y= -0.003x^{2}+0.58x+3 where x and y are measured in feet. a firefighter is holding the hose 3 feet above the ground, 137 feet from a building. will the stream of water pass through a window if the top of the window is 26 feet above the ground?

really need help.
 
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Re: How to solve word problem

Hello and welcome to MHB! :D

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1. What is a parabolic trajectory of water stream?

A parabolic trajectory of water stream is the path that a stream of water follows when it is projected into the air at an angle. The shape of the trajectory is similar to that of a parabola, with the water stream rising and then falling back to the ground.

2. What factors affect the parabolic trajectory of water stream?

The parabolic trajectory of water stream is affected by several factors including the initial velocity of the water, the angle at which it is projected, and the force of gravity. Other factors such as air resistance and wind can also have an impact on the trajectory.

3. How is the parabolic trajectory of water stream calculated?

The parabolic trajectory of water stream can be calculated using the principles of projectile motion. This involves using equations to determine the height, distance, and time of flight of the water stream based on its initial velocity and angle of projection.

4. What real-life applications does the parabolic trajectory of water stream have?

The parabolic trajectory of water stream has several real-life applications such as in sports like water polo, where players use the trajectory to shoot the ball into the goal. It is also used in firefighting to aim water hoses at a fire, and in irrigation systems for efficient distribution of water.

5. How does the parabolic trajectory of water stream differ from other trajectories?

The parabolic trajectory of water stream is unique in that it follows a curved path rather than a straight one. This is because of the force of gravity acting on the water, causing it to accelerate downwards. Other trajectories, such as linear and circular trajectories, may have different shapes and are influenced by different factors.

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