Projectile Motion: Clearing a Fence?

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SUMMARY

The discussion focuses on solving a projectile motion problem involving a ball batted at a velocity of 30 m/s at a 30-degree angle from a height of 1.0 m. The objective is to determine if the ball will clear a 2.5 m high fence located 30 m away. The user applied the ballistic path equation and calculated that the ball clears the fence by 12.5 m, but expressed uncertainty about the accuracy of this result. Further clarification and detailed steps of the solution process are requested to ensure correctness.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with the ballistic path equation
  • Knowledge of trigonometric functions, specifically sine and cosine
  • Basic algebra for solving equations
NEXT STEPS
  • Review the derivation and application of the ballistic path equation
  • Study the effects of initial height on projectile motion
  • Learn how to calculate the range and maximum height of projectiles
  • Explore the use of simulation tools for visualizing projectile motion
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Students studying physics, educators teaching projectile motion concepts, and anyone interested in solving real-world motion problems involving angles and velocities.

Arooj
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Homework Statement


A ball is batted with a velocity of 30 m/s at an angle of 30 degrees above the horizontal from a height of 1.0 m above the ground. Will the ball clear a 2.5 m high fence which is 30 m away? By how much will it miss or clear?

Homework Equations


ballistic path equation? delta y = (-gx^2/(2v)^2*(cos @)^2) + xtan@
@ = angle

The Attempt at a Solution


I used the ballistic path equation, and set the delta y = 1.5. On the other side i plugged in the 30 for x, 30 degrees for @, and vi as 30m/s.

I got clear by 12.5m, but I don't think that is right.
How to do you do this problem?
 
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Your result doesn't look right. You'll have to present more of your attempt so we can see how to help.
 

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