AP PHYSICS 1 Kinematics falling with deceleration

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SUMMARY

The discussion focuses on a kinematics problem involving Captain America, who falls 50 meters before decelerating at 2.0 m/s² after his parachute opens. The initial conditions include a final speed of 3.0 m/s upon reaching the ground. The problem is divided into two parts: the first part involves calculating the time of free fall under the acceleration of gravity at 9.8 m/s², and the second part addresses the deceleration phase. The key equation used is d = do + Vo + 1/2at².

PREREQUISITES
  • Understanding of kinematic equations
  • Knowledge of acceleration due to gravity (9.8 m/s²)
  • Familiarity with concepts of deceleration
  • Ability to solve quadratic equations
NEXT STEPS
  • Calculate the time of free fall using the equation d = do + Vo + 1/2at²
  • Explore the effects of deceleration on falling objects
  • Learn about the integration of kinematic equations in multi-phase motion
  • Investigate real-world applications of kinematics in parachuting
USEFUL FOR

Students studying AP Physics, educators teaching kinematics, and anyone interested in the principles of motion under gravity and deceleration.

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Homework Statement


Captain American bails out of an airplane and falls 50 meters without friction. When the parachute opens, he decelerate at 2.0m/s2. He reaches the ground with a speed of 3.0 meters/sec.
a.) How long is captain america in the air?

do=
d=
vo=
v=3m/s
t= ?
a= -9.8m/s2 ?? (this is where I am confused because of the deceleration of 2.0m/s2.

Homework Equations


d=do + Vo +1/2at2

The Attempt at a Solution

 
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This problem comes in two parts. Part 1 constant acceleration down at 9.8 m/s2. Part 2 constant acceleration up at 2 m/s2.
 

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