How far does the parachutist fall before his parachute opens?

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SUMMARY

The discussion focuses on calculating the distance a parachutist falls before their parachute opens at 200 meters above the ground, starting from a height of 4000 meters. Participants suggest using the equation s = ut + (1/2)at² for plotting the distance versus time graph. The initial 3800 meters of free fall is analyzed using energy conservation principles, specifically mgh = (1/2)mv², to determine the velocity just before the parachute deployment. The conversation emphasizes the importance of understanding kinematic equations and energy conservation in solving the problem.

PREREQUISITES
  • Understanding of kinematic equations, specifically s = ut + (1/2)at²
  • Familiarity with energy conservation principles, particularly mgh = (1/2)mv²
  • Basic knowledge of free fall motion and gravitational acceleration
  • Ability to graph mathematical functions and interpret distance vs. time plots
NEXT STEPS
  • Study the application of kinematic equations in free fall scenarios
  • Explore energy conservation in physics, focusing on gravitational potential and kinetic energy
  • Learn how to graph distance vs. time for various motion types
  • Investigate the effects of air resistance on free fall and parachute deployment
USEFUL FOR

Students studying physics, educators teaching motion and energy concepts, and anyone interested in understanding the dynamics of free fall and parachuting.

kelsybayless
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1. Homework Statement
A parachutist freefalls from a height of 4000 meters above the ground. Graph his distance vs. time as he falls stop your graph when his parachute opens 200 meters

Homework Equations



i tried a couple equations
rate x time=distance
(final velocity)= (initial velocity)+ acceleration(time)

The Attempt at a Solution



i know that the graph is going a downward curve just don't understand how to plot them and the time is what imm trying to figure but it just keeps coming out different.
 
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