Projectile Motion: Minimum Velocity for Overcoming an Obstacle

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SUMMARY

The discussion focuses on calculating the minimum velocity required for a projectile to clear a fence of width d and height y. Key equations include the projectile motion equations x(t) = v0xt and y(t) = -½gt² + voy t. Participants emphasize the importance of defining variables such as T (time of flight), L (horizontal distance), and h (height) to establish the trajectory constraints. A diagram is recommended to visualize the relationship between the projectile's path and the fence.

PREREQUISITES
  • Understanding of basic projectile motion principles
  • Familiarity with kinematic equations
  • Ability to define and manipulate variables in physics problems
  • Basic skills in diagramming trajectories
NEXT STEPS
  • Research how to derive the minimum launch velocity for projectile motion
  • Learn about the effects of gravity on projectile trajectories
  • Study the concept of trajectory optimization in physics
  • Explore graphical methods for solving projectile motion problems
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of projectile motion and optimizing launch parameters for overcoming obstacles.

Jerry Smith
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Homework Statement



A projectile needs to be launched over a fence of width d, and height y. Find the minimum velocity needed.

Homework Equations



Projectile Motion etc..

The Attempt at a Solution


[/B]
x(t) = v0xt
y(t) = -½gt2+voyt

Setting:

x(T) = L
y(T) = h

 
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Maybe provide a diagram and define what T, L, and h are.
 
As paisiello2 says, think about how the trajectory will relate to the fence. Draw yourself a diagram, even if you don't post it.
You need to create a collection of variables to represent all the unknown launch parameters. What are they?
You will also need variables for any unknowns that help you connect the horizontal constraints with the vertical ones (like, time to reach a certain point).
Then you can write some equations using the variables you created and expressing the trajectory constraints.
 

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