Solve Motion Position Homework: Answer at 6 sec - 10/46 m

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SUMMARY

The discussion centers on solving a motion position homework problem involving an initial position of x = 10 m and determining the position at 6 seconds. The relevant equation used is delta d = 1/2a delta t^2 + Vi delta t, where the initial velocity (Vi) and acceleration (a) are critical for accurate calculations. The position at 2 seconds is given as 17 m, indicating a non-constant acceleration scenario. The key takeaway is to recognize the relationship between velocity and displacement, which simplifies the problem-solving process.

PREREQUISITES
  • Understanding of kinematic equations, specifically delta d = 1/2a delta t^2 + Vi delta t
  • Familiarity with concepts of initial position and velocity in motion problems
  • Basic knowledge of calculus, particularly the relationship between velocity and displacement
  • Ability to analyze motion with variable acceleration
NEXT STEPS
  • Study the implications of non-constant acceleration in motion problems
  • Learn how to apply calculus concepts to solve kinematic equations
  • Explore examples of motion problems involving variable acceleration
  • Practice using graphical representations of motion to determine displacement and velocity
USEFUL FOR

This discussion is beneficial for students studying physics, particularly those tackling kinematics and motion problems, as well as educators looking for examples of teaching variable acceleration concepts.

missashley
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Homework Statement



Consider the plot below describing motion along a straight line with an initial position of x = 10 m.

http://img261.imageshack.us/my.php?image=asdfdp5.jpg

What is the position at 6 seconds? Answer in m.

The position at 2 seconds is 17 m.

Homework Equations



delta d = 1/2a delta t^2 + Vi delta t


The Attempt at a Solution



I didn't know whether to use 4 or 0 as the final velocity.

delta d = 10 or 46
 
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The problem is much simpler than it looks. Remember from calculus how velocity and displacement are related.

Hint: Remember that this may not necessarily be a constant acceleration problem.

Bryan
 

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