One Dimensional Kinematics of Object

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SUMMARY

The discussion focuses on calculating the average velocity of an object released from rest at a height \( h \), which travels 0.31h during the first second of its descent. The relevant kinematic equations include \( X - Xo = V_0t + 0.5at^2 \) and \( X - Xo = 0.5(V_0 + V)t \). The initial velocity \( V_0 \) is zero, and the object accelerates under gravity, leading to the conclusion that the average velocity can be determined by understanding the total height and the distance fallen in the first second.

PREREQUISITES
  • Understanding of one-dimensional kinematics
  • Familiarity with kinematic equations
  • Basic knowledge of gravitational acceleration (9.81 m/s²)
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Calculate the total height \( h \) using the distance fallen in the first second
  • Explore the implications of average velocity in uniformly accelerated motion
  • Learn how to apply the kinematic equations to different scenarios
  • Investigate the relationship between distance, time, and acceleration in free fall
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Students studying physics, particularly those focusing on kinematics, as well as educators looking for examples of problem-solving in motion under gravity.

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Homework Statement


An object is released from rest at a height h. It travels 0.31h during the first second of its descent. Determine the average velocity of the object during its entire descent.

Homework Equations



X - Xo = volt + .5at^2
v^2 = Vo^2 + 2a(X - Xo)
X - Xo = .5(Vo + V)t

The Attempt at a Solution


I basically have no idea where to start.
.31/1 = .31 m/s is the velocity in the first second, but that is not the initial velocity, which is 0.
h = .5(0+Vf)t = .5Vf*t, but I have no idea how one would get a numerical answer, which is what I need.
 
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Perhaps try figuring out what the height actually is to begin with. How far does any object fall under the influence of gravity in 1 second? You are told that this distance is 31% of the total distance, so to what height was it raised? See if you can work from there.
 
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