Projectile Motion Help: Solving Cannon Ball Problems

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SUMMARY

The discussion focuses on solving projectile motion problems involving a cannon ball. The first problem requires calculating the initial velocity needed for a cannon ball launched at 60 degrees to hit a helicopter located 90 feet away and 70 feet high, with an initial velocity of 43 m/s and a time of flight of 3.8 seconds mentioned. The second problem involves determining the launch angles for a cannon ball traveling at 35 m/s to land 29 meters away. Participants emphasize the importance of breaking down the components of motion to solve these problems accurately.

PREREQUISITES
  • Understanding of projectile motion principles
  • Knowledge of trigonometric functions for angle calculations
  • Familiarity with kinematic equations
  • Ability to decompose vectors into x and y components
NEXT STEPS
  • Study the kinematic equations for projectile motion
  • Learn how to resolve vectors into components
  • Explore the concept of time of flight in projectile motion
  • Investigate the use of trigonometric identities in angle calculations
USEFUL FOR

Students studying physics, educators teaching projectile motion concepts, and anyone seeking to solve real-world problems involving angles and velocities in projectile dynamics.

nando94
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I am really stuck on these two homework problems.

1. Basically, there is a cannon which will launch a ball at 60 degrees respect to the x axis. There is also a helicopter 90 feet away from the cannon and 70 feet up. What intial velocity will the cannon ball need to be launched with in order to hit the helicopter.

For this one I got vi = 43 m/s and t = 3.8 s but the x and y components don't add up

2. Find the two angles that will ensure that a cannon ball traveling at 35 m/s will land 29 meters away.

Dont know where to start on this.
 
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