How to calculate theoretical initial velocity?

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SUMMARY

The discussion focuses on calculating the theoretical initial velocity required to hit a target 25.6 meters away from a cannon. Given the initial velocity of 16 m/s and a time of 2.6 seconds, the calculated range is 26.7 meters, assuming no air resistance. The participants emphasize the importance of using the correct equations of motion to derive the initial velocity accurately.

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  • Understanding of basic physics concepts such as projectile motion
  • Familiarity with kinematic equations
  • Knowledge of initial velocity and range calculations
  • Ability to apply concepts of air resistance in theoretical scenarios
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  • Study the kinematic equations for projectile motion
  • Learn how to calculate range and time of flight in projectile motion
  • Explore the effects of air resistance on projectile trajectories
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Students studying physics, educators teaching projectile motion, and anyone interested in the mathematical modeling of motion in a vacuum.

pill
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I can do with just an equation, but if anyone is willing to help:
Target is 25.6 m away from canon
Initial Velocity = 16 m/s
Time = 2.6 s
Range = 26.7m
No air resistance
 
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