Troubles with projectile motion Help

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SUMMARY

The discussion centers on solving projectile motion problems related to a tennis ball launcher tilted at 45 degrees. The key challenge is calculating horizontal distance (d(x)) and maximum height without knowing the initial launch speed. It is established that the launch speed is essential for determining both distance and height. The recommended approach is to first calculate the time to reach maximum height using known variables and then derive the necessary equations from there.

PREREQUISITES
  • Understanding of basic physics concepts related to projectile motion
  • Familiarity with kinematic equations
  • Knowledge of trigonometric functions for angle calculations
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the kinematic equations for projectile motion
  • Learn how to calculate time of flight for projectiles
  • Explore the relationship between launch angle and range
  • Investigate how to determine initial velocity from distance and height
USEFUL FOR

Students in physics courses, educators teaching projectile motion, and anyone interested in understanding the principles of kinematics and projectile trajectories.

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I've made a tennis ball launcher (tilted 45 degrees) for my physics class. The assignment is to calculate where the tennis ball will land horizontally and also how high it will go before falling back to the ground. The problem I am facing is that I need d(x) in order to find v(x), but i need v(x) in order to find d(x). If you know of any other equations I can use, that would be wonderful! This assignment is due tomorrow and I'm pretty desperate. Please help if you can!
 
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You can't calculate either distance nor maximum height without knowing the projectile's launch speed. That said, you can find a relationship between the distance the projectile travels and initial speed. Start by calculating the time it takes to reach maximum height and work from there. Work with variables, and assume that launch speed is known.
 

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