Finding range given impact velocity?

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SUMMARY

The discussion centers on calculating the horizontal range of a projectile launched over level ground, impacting with a velocity of 65 m/s at an angle of 25° below the horizontal. The correct horizontal range is determined to be 360 meters. Participants confirm that, in the absence of air resistance, the initial and final velocities are equal in magnitude but differ in direction, allowing for the calculation of horizontal components and time of flight.

PREREQUISITES
  • Understanding of projectile motion principles
  • Knowledge of vector components (Vix and Viy)
  • Familiarity with kinematic equations
  • Basic trigonometry for angle calculations
NEXT STEPS
  • Study the kinematic equations for projectile motion
  • Learn how to decompose velocity into horizontal and vertical components
  • Explore the effects of air resistance on projectile trajectories
  • Investigate the use of simulation tools for projectile motion analysis
USEFUL FOR

Students in physics, educators teaching mechanics, and anyone interested in understanding projectile motion and its calculations.

jerm174
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A projectile shot over level ground hits the ground with a velocity of 65m/s at an angle of 25° below the horizontal. What was the horizontal range of the projectile?
170m
330m
780m
360m

If something is launched over a horizontal plane, does Vi=Vf? (same magnitude and velocity) (but different direction obviously).
Would I then be able to find Vix and Δt to find the Δx (range)?
 
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jerm174 said:
A projectile shot over level ground hits the ground with a velocity of 65m/s at an angle of 25° below the horizontal. What was the horizontal range of the projectile?
170m
330m
780m
360m

If something is launched over a horizontal plane, does Vi=Vf? (same magnitude and velocity) (but different direction obviously).
Would I then be able to find Vix and Δt to find the Δx (range)?

Welcome to the PF.

Yes, over level ground with no air resistance, the launch and impact velocities and angles should be symmetrical.
 

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