How Does Projectile Angle Affect Range and Distance?

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SUMMARY

The discussion centers on calculating the range of a projectile, specifically a stone thrown at an angle of 35 degrees with an initial speed of 20 m/s and the maximum range achievable with a speed of 24 m/s. The formula used for these calculations is R = (Vo^2*sin(2 theta)) / g. The calculated distances were 38.35 meters for the first scenario and 58.77 meters for the second, both of which were initially marked incorrect despite being accurate based on the provided parameters.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with the formula R = (Vo^2*sin(2 theta)) / g
  • Knowledge of trigonometric functions, specifically sine
  • Basic skills in physics problem-solving
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  • Review the derivation of the projectile motion formula R = (Vo^2*sin(2 theta)) / g
  • Explore the effects of varying launch angles on projectile range
  • Learn about the impact of air resistance on projectile motion
  • Investigate the significance of significant figures in physics calculations
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Students studying physics, educators teaching projectile motion, and anyone interested in understanding the mathematical principles behind projectile trajectories.

SharkFin39
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Homework Statement



How far will a stone travel over level ground if it is thrown upward at an angle of 35 degrees with respect to the horizontal and with a speed of 20 m/s?

What is the maximum range that can be achieved if a stone is thrown with an initial speed of 24 m/s?


The Attempt at a Solution



I've worked out both questions using the formula:

R = (Vo^2*sin(2 theta)) / g

For the first question I calculated a distance of 38.35m, and for the second (using the angle 45°) 58.77m. However, both of the answers have been marked incorrect. I've tried different sig figs etc. Am I doing something wrong? Is there any other way to solve these two problems? Thank you in advance for any help!


SharkFin
 
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Not sure where you got that formula but, 38.35 and 58.77 is correct assuming they mean the stone is thrown with that speed along that angle.
 

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