What Are the Equations for Projectile Motion?

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SUMMARY

The discussion focuses on calculating the height at which a stream of water from a fire hose strikes a building, given a distance of 50.0 m, an angle of 40.0°, and a speed of 30.0 m/s. The key equations for projectile motion, specifically the horizontal and vertical motion equations, are essential for solving this problem. Participants emphasize the need for integrating height into the equations to find the solution effectively. The lack of provided materials from the teacher is noted as a challenge in addressing the homework problem.

PREREQUISITES
  • Understanding of projectile motion equations
  • Knowledge of trigonometric functions for angle calculations
  • Familiarity with kinematic equations
  • Basic algebra for solving equations
NEXT STEPS
  • Study the equations for projectile motion, focusing on horizontal and vertical components
  • Learn how to apply trigonometric functions to resolve vectors into components
  • Practice solving kinematic equations with initial velocity and angle
  • Explore examples of real-world applications of projectile motion in physics
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Students studying physics, particularly those tackling projectile motion problems, educators looking for teaching resources, and anyone interested in applying mathematical concepts to real-world scenarios.

weikari
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Homework Statement



A firefighter, 50.0 m away from a burning building, directs a stream of water from a fire hose at an angle of 40.0° above the horizontal, as in figure. If the speed of the stream is 30.0 m/s, at what height will the stream of water strike the building?


Homework Equations





The Attempt at a Solution


Im really not sure how to answer the problem. I know that you are supposed to integrate the height into equation. But our teacher didn't appropriately give us the needed materials.
 
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Hi weikari, welcome to PF.

Try to find out the relevant equations for a projectile motion.
 

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