Calculating the Initial Speed of an Arrow Shot Horizontally

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SUMMARY

The discussion centers on calculating the initial speed of an arrow shot horizontally at a target 16 meters away, which impacts 56 centimeters lower than aimed. The key to solving this problem lies in determining the time it takes for the arrow to fall 56 centimeters due to gravity. The relevant kinematic equation, V^2 = Vo^2 + 2aΔx, can be utilized, where 'a' is the acceleration due to gravity and Δx is the vertical displacement.

PREREQUISITES
  • Understanding of kinematic equations
  • Knowledge of gravitational acceleration (9.81 m/s²)
  • Basic algebra skills for solving equations
  • Familiarity with projectile motion concepts
NEXT STEPS
  • Calculate the time taken for an object to fall 56 cm using the formula Δy = 0.5gt².
  • Determine the initial horizontal speed using the formula v = d/t, where d is the horizontal distance (16 m).
  • Explore the effects of air resistance on projectile motion.
  • Review the principles of horizontal projectile motion in physics textbooks.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding projectile motion and kinematic equations in real-world applications.

catmd13
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Homework Statement



An archer shoots an arrow horizontally at a target 16m away. The arrow is aimed directly at the center of the target, but it hits 56cm lower. What was the initial speed of the arrow?

Homework Equations



im not sure of an equation because it does not have t.

The Attempt at a Solution



I tried V^2=Vo^2+2adeltax
 
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catmd13 said:

Homework Statement



An archer shoots an arrow horizontally at a target 16m away. The arrow is aimed directly at the center of the target, but it hits 56cm lower. What was the initial speed of the arrow?

Homework Equations



im not sure of an equation because it does not have t.

The Attempt at a Solution



I tried V^2=Vo^2+2adeltax

Actually it gives you the time, you just haven't recognized it yet.

Maybe if you figured out how long it takes something to fall 56 cm you'd be good to go?
 

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