How High is the Arrow at 150 Meters Downrange?

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SUMMARY

The discussion centers on calculating the height of an arrow shot at a velocity of 45 m/s and an angle of 50 degrees at a distance of 150 meters downrange. Using projectile motion equations, the vertical position can be determined by first calculating the time of flight to 150 meters and then using that time to find the height. The relevant equations include horizontal motion calculations and vertical motion equations derived from kinematics.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with kinematic equations
  • Basic trigonometry for angle calculations
  • Ability to perform unit conversions if necessary
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  • Study the equations of motion for projectile trajectories
  • Learn how to decompose velocity into horizontal and vertical components
  • Explore the effects of air resistance on projectile motion
  • Practice similar problems involving different angles and velocities
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Students in physics, educators teaching projectile motion, and anyone interested in understanding the mechanics of archery and trajectory calculations.

physicnow
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Hi,
I have an problem that I can not get the answer, any help would be greatly appreciated.

An archer shoots an arrow with a velocity of 45m/s at an angle of 50 degrees with the horizontal. What is the height of the arrow at a point 150 meters downrange?
 
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