Finding Initial Velocity in 2D Kinematics Problems

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SUMMARY

The discussion focuses on calculating the initial velocity of water from a garden hose in a 2D kinematics problem. The hose is angled at 25 degrees and the water lands 4.4 meters away horizontally while being 1.4 meters above the ground. To solve for the initial velocity (v_0), users are advised to apply the equations for vertical and horizontal displacement, treating the water's trajectory as a projectile motion problem. The participant expresses difficulty but acknowledges the utility of previous advice in solving similar problems.

PREREQUISITES
  • Understanding of 2D kinematics principles
  • Familiarity with projectile motion equations
  • Basic algebra for solving equations
  • Knowledge of trigonometric functions related to angles
NEXT STEPS
  • Study the equations of motion for projectile trajectories
  • Learn how to decompose vectors into horizontal and vertical components
  • Practice solving problems involving initial velocity in projectile motion
  • Explore the impact of angle and height on projectile range
USEFUL FOR

Students studying physics, particularly those tackling kinematics problems, educators seeking to provide clearer explanations, and anyone preparing for tests involving projectile motion calculations.

fredrancour
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Homework Statement



Water from a garden hose that is pointed 25 degrees above the horizontallands directly on a sunbather lying on the ground 4.4 m away in the horizontal direction. If the hose is held 1.4 m above the ground, at what speed does ithe water leave the nozzle?

Homework Equations



The Attempt at a Solution



I am utterly clueless, however suspicious it may seem. It's summer homework, and textbooks were not designed to be used without the aid of a teacher. I'd prefer some general advice on how to do problems like this, where you are given the angle measure and displacement and must find v_0. However, I decided using the template best I could would be a good idea.
 
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Try to write out the equations for vertical displacement and horizontal displacement. Think of it as a simple projectile (a rock or something)... instead of water...
 
well, your advice helped me solve a similar, easier problem. thanks. I got as far as I could on this one, but I've actually got to go turn this in at the school. I'll just have to take the penalty and try to figure this one out before our first-week-of-school test.
 

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