Calculating Initial Speed of a Projectile Using Gravity, Height, and Range

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SUMMARY

The discussion focuses on calculating the initial speed (Vo) of a projectile using gravity (g), height (H), and range (R). The derived formula for initial velocity is Vo = sqrt((1/2 * g * R^2)/(cos2θ * (R * tanθ + H)). Participants collaborated for three hours to arrive at this solution, indicating the complexity of the problem. The conversation highlights the challenges faced in finding relevant resources online, emphasizing the need for precise formulas in projectile motion.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with trigonometric functions (cosine, tangent)
  • Basic algebra for manipulating equations
  • Knowledge of gravitational acceleration (g)
NEXT STEPS
  • Study the derivation of projectile motion equations
  • Explore the impact of angle (θ) on projectile range
  • Learn about the effects of air resistance on projectile motion
  • Investigate real-world applications of projectile motion in sports and engineering
USEFUL FOR

Students studying physics, educators teaching projectile motion, and anyone interested in the mathematical modeling of motion under gravity.

nobodyuknow
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Homework Statement



Find the initial speed (Vo) in Projectile motion in terms of
Gravity (g)
Height (H)
Range (R)

Homework Equations



Nothing has been given, however, have found these so far...

Initial Velocity = sqrt((1/2 * g * R^2)/(cos2θ * (R * tanθ + H))

And a few others which are irrelevant.

The Attempt at a Solution



My friends and I are all collaborating and the above formula is the closest thing we've come up with.
We've also resorted to looking up on Google and Yahoo answers without much luck. Similar questions have aroused on Physics Forums, but not quite what we're after.
Thanks :)
 
Last edited:
Physics news on Phys.org
After literally, 3 hours of arithmetic. We got the final answer.
 
Last edited:
Hey,
Your answer is perfect :-)
 

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