Kinematics/free fall objects help.

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SUMMARY

The discussion centers on the kinematics of free-fall objects, specifically analyzing a diver's motion when propelled upward from a height. The diver's initial velocity is 1.8 m/s, and the acceleration due to gravity is consistently -9.8 m/s², regardless of the object's upward motion. The highest point reached by the diver above the water is calculated to be approximately 3.16 meters. The key takeaway is the understanding that gravitational acceleration affects objects in motion both upward and downward.

PREREQUISITES
  • Understanding of kinematics equations
  • Familiarity with initial and final velocity concepts
  • Knowledge of gravitational acceleration (9.8 m/s²)
  • Ability to solve quadratic equations in physics contexts
NEXT STEPS
  • Study the kinematic equations for uniformly accelerated motion
  • Learn how to apply the conservation of energy in projectile motion
  • Explore the concept of maximum height in projectile motion problems
  • Review examples of free-fall scenarios in physics textbooks
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This discussion is beneficial for students in physics courses, particularly those studying kinematics, as well as educators seeking to clarify concepts related to projectile motion and gravitational effects on moving objects.

nando94
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In my honors course we are covering kinematics concepts. There was this problem which stumbled me but then I figured out what I did wrong. I just want to make sure my concept was right. Here is the problem...

A diver springs upward with an intial speed of 1.8 m/s from a board that is 3 meters above
the surface of the pool (his displacement is y = -3m). What is the highest point he reaches above the water.

So this was my equation

vi = 1.8 m/s
vf = 0 m/s
a = -9.8 m/s2
x = ?

Solved the equation and got x = 3.16 or 3.2

So the part that kind of confused me in the beginning was that I only had vi and vf. There had to be one more piece to solve the equation. Thats when I realized that gravity works even when the object has a positive velocity in the upward y direction. But then I started
doubting my self so I am kind of confused.
 
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So are you confused about when to use -9.8 as the acceleration?
 
Yeah basically. I was confused because he was going up and I kept thinking gravity in terms of falling down. So I wanted to make sure that gravity is the same when going up as well.
 

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