How to Calculate Average Acceleration in a Fall?

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SUMMARY

The discussion focuses on calculating the average acceleration of a woman who fell 112 feet and landed on a metal ventilator box, compressing it by 24 inches. The calculated speed just before impact was 84.664 ft/s. To determine average acceleration, the equation used is average acceleration = (delta v) / (delta t), where delta t can be derived from kinematic equations relating speed, distance, and acceleration. The key takeaway is the application of kinematic relationships to solve for time and subsequently average acceleration.

PREREQUISITES
  • Understanding of basic kinematics
  • Familiarity with the equation of motion: average acceleration = (delta v) / (delta t)
  • Knowledge of how to derive time from speed and distance
  • Ability to apply kinematic relationships
NEXT STEPS
  • Study kinematic equations, specifically those relating speed, distance, and time
  • Learn how to derive time from velocity and distance in free fall scenarios
  • Explore practical applications of average acceleration in real-world physics problems
  • Investigate the effects of impact forces and deceleration in collision scenarios
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Physics students, engineers, and anyone interested in understanding motion dynamics and impact analysis.

Melchior25
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So here is the question I'm stuck on.

A woman is reported to have fallen 112 ft from a building, landing on a metal ventilator box, which she crushed to a depth of 24 in. She suffered only minor injuries.

Calculate the magnitude of her average acceleration while in contact with the box.

I know average accel. = (delta v) / (delta t)

I calculated the speed of the woman just before she collided with the box to be 84.664 ft/s.

Although I'm a bit lost on how to calculate the avg. acceleration because I'm not sure what equation I should use to calculate (t).
 
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Try expressing delta t in terms of delta v and the distance.

(You can also take advantage of kinematic relationships that directly relate speed, distance, and acceleration.)
 

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