Question about vectors, velocity, time and distance?

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SUMMARY

The discussion focuses on solving a projectile motion problem involving an arrow fired at a 45-degree angle with an initial velocity of 30 m/s from a height of 3 meters. Key calculations include resolving the initial velocity into its x and y components, determining the time of flight until the arrow hits the ground, and calculating the horizontal distance from the cliff where the arrow lands. Essential formulas include the equations of motion for vertical and horizontal components, as well as the use of gravitational acceleration.

PREREQUISITES
  • Understanding of projectile motion principles
  • Knowledge of vector resolution into components
  • Familiarity with kinematic equations
  • Basic grasp of gravitational acceleration (9.81 m/s²)
NEXT STEPS
  • Learn how to resolve vectors into x and y components
  • Study the kinematic equations for projectile motion
  • Explore the concept of time of flight in vertical motion
  • Investigate how to calculate horizontal range in projectile motion
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Students studying physics, educators teaching mechanics, and anyone interested in understanding projectile motion and its applications in real-world scenarios.

brandon d
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An arrow is fired at and angle of 45 degrees with a velocity of 30 m/s above the horizontal off the edge of a 3m high cliff.

A) Resolve the initial velocity into its x and y components.
B) Find how long it takes the arrow to hit the ground below the cliff
C) Find how far from the cliff the arrow hits the ground.

PLease give some hints/formulas or ways to show me how to solve this
 
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Have you been given any formulas you think might relate to this problem? What theory have you gone through?
 
We have been doing forulas with stuff like j hat and i hat
Equations with initial and final velocity, time, inital and final displacement and acceleration
 

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