Projectile motion on an Inclined Plane

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SUMMARY

The discussion focuses on calculating the new angle of inclination for a projectile launched from an inclined plane. Initially, with an inclination of 70°, the maximum range achieved is 50 cm. When the inclination changes and the launcher is set at 30° to the horizontal, the projectile lands 1 meter away. The problem requires applying the principles of projectile motion to determine the new angle of inclination.

PREREQUISITES
  • Understanding of projectile motion principles
  • Knowledge of trigonometric functions and their applications
  • Familiarity with the equations of motion
  • Basic skills in algebra for solving equations
NEXT STEPS
  • Study the equations of projectile motion in detail
  • Learn how to apply trigonometric identities to solve for angles
  • Explore the effects of different angles of inclination on projectile range
  • Investigate simulation tools for visualizing projectile motion
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Students in physics, educators teaching mechanics, and anyone interested in understanding the dynamics of projectile motion on inclined planes.

LadyMario
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A small ball is launched from the corner of an inclined plane. When the inclination of the plane θ is 70° the max range of the projectile is 50 cm. Later the inclination of the plane changes to a new unknown angle and the same projectile launcher is oriented at 30° to the horizontal line. The ball lands 1m away from the launcher. Find the new angle of inclination.
 
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