Solving Velocity After Falling 268 Feet

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SUMMARY

The discussion focuses on calculating the velocity of an object falling from a height of 268 feet, using the kinematic equation vf^2 = vi^2 + 2*a*d. The user correctly applies the equation, substituting the acceleration due to gravity (9.81 m/s²) and the distance (90 m or approximately 295.3 ft). The final calculated velocity is 42 m/s, which converts to approximately 93.9 mph. However, the discussion highlights minor errors in unit conversions and suggests using US Customary Units for consistency.

PREREQUISITES
  • Understanding of kinematic equations, specifically vf^2 = vi^2 + 2*a*d
  • Knowledge of gravitational acceleration (9.81 m/s² or 32.19 ft/s²)
  • Familiarity with unit conversions between metric and US Customary Units
  • Basic physics concepts related to free fall and velocity calculations
NEXT STEPS
  • Research detailed applications of kinematic equations in physics problems
  • Learn about gravitational acceleration variations in different environments
  • Study unit conversion techniques between metric and US Customary Units
  • Explore real-world examples of free fall and terminal velocity calculations
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of free fall and velocity calculations in both metric and US Customary Units.

kevindpalmer2
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Homework Statement



Trying to figure how fast you would be falling after 268 feet? not worrying about resistance and in terms of weight just and average person... this is what I did.. is it correct? or way off


vf^2 = vi^2 + 2*a*d
vf^2 = 0 + 2* 9.81 * 90
vf^2 = 1765.8m^2/s^2
take square root
vf = 42 m/s then convert to mph multiply by 2.24? 93.9mph

Homework Equations



vf^2 = vi^2 + 2*a*d
vf^2 = 0 + 2* 9.81 * 90
vf^2 = 1765.8m^2/s^2
take square root
vf = 42 m/s then convert to mph multiply by 2.24? 93.9mph

The Attempt at a Solution


vf^2 = vi^2 + 2*a*d
vf^2 = 0 + 2* 9.81 * 90
vf^2 = 1765.8m^2/s^2
take square root
vf = 42 m/s then convert to mph multiply by 2.24? 93.9mph
 
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That's the correct method. Some of your conversion factors seem to have small errors

90 m ≈ 295.3 ft and 268 ft ≈ 81.69 ft.

etc.

If you want to do it all in US Customary Units, g = 9.81 m/s2 ≈ 32.19 ft/s2.
and
60 mph = 88 ft/s
 

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