Projectile motion with a few variables

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SUMMARY

The discussion focuses on solving a projectile motion problem involving uniform acceleration, where a projectile is launched from a height of 1 meter at a 60-degree angle and lands 60 meters away. The key equations used are the vertical motion equation \(s = ut + \frac{1}{2}at^2\) and the horizontal motion equation \(s = ut\). The participant initially struggled with substituting values for time and initial velocity but ultimately resolved the issue by utilizing known sine and cosine values for the launch angle. This allowed for a clearer formulation of the projectile motion equations.

PREREQUISITES
  • Understanding of basic physics concepts related to projectile motion
  • Familiarity with kinematic equations for uniform acceleration
  • Knowledge of trigonometric functions, specifically sine and cosine
  • Ability to manipulate algebraic equations to solve for unknowns
NEXT STEPS
  • Study the derivation of projectile motion equations in detail
  • Learn how to apply trigonometric identities in physics problems
  • Explore the impact of varying launch angles on projectile range
  • Investigate real-world applications of projectile motion in sports and engineering
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Students studying physics, educators teaching projectile motion concepts, and anyone interested in applying kinematic equations to solve real-world problems.

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Homework Statement

Assume uniform acceleration. The projectile is released at a height 1m above the ground traveling at angle 60 above the horizontal. It hits the ground 60m away from the launch position. Calculate acceleration of the particle in acceleration phase.[/B]

Homework Equations


s=ut+1/2ut^2 in y direction
s=ut in x direction[/B]

The Attempt at a Solution


tried using the above two and substituting for time and initial velocity but both give horrible equations which i can't solve.
Tried the range formula but that doesn't work because of the 2m start position.[/B]
 
Last edited:
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The simple equal height for launch and landing range formula is out, so you need to fall back on the basic projectile motion equations. Fortunately the angle provided has well known values for sine and cosine, so writing the projectile motion equations in terms of an unknown velocity v is made a bit easier.

Why don't you show us your attempt using the projectile motion equations and point out where you get stuck?
 
Got it now. I was just being silly thank you for your help :)
 

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