Uniform Acceleration problem dealing with time and x variables?

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SUMMARY

The discussion centers on solving a uniform acceleration problem in physics, specifically calculating acceleration given initial velocity and displacement over time. The initial velocity is 14.0 cm/s, and the object moves from an x-coordinate of 3.00 cm to -5.00 cm in 2.00 seconds. The correct formula used is deltaX = V₀t + (1/2)at², leading to the calculation of acceleration as -0.367 cm/s². A common error identified was the misinterpretation of the time variable in the equation.

PREREQUISITES
  • Understanding of kinematic equations, specifically deltaX = V₀t + (1/2)at²
  • Basic knowledge of uniform acceleration concepts
  • Ability to manipulate algebraic equations
  • Familiarity with units of measurement in physics (e.g., cm, s)
NEXT STEPS
  • Review kinematic equations in physics, focusing on uniform acceleration
  • Practice problems involving displacement, velocity, and acceleration
  • Learn about common mistakes in solving physics problems
  • Explore the implications of unit conversions in physics calculations
USEFUL FOR

Students studying physics, particularly those focusing on kinematics, as well as educators looking for examples of common problem-solving errors in uniform acceleration scenarios.

OUmecheng
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Homework Statement


An object moving with uniform acceleration has a velocity of 14.0 cm/s in the positive x direction when its x coordinate is 3.00 cm. If its x coordinate 2.00 s later is -5.00 cm, what is its acceleration?

Homework Equations


deltaX=V naught t + (1/2)at^2)

The Attempt at a Solution


2(X-Vt)/t^2 = a

I rewrote the equation and plugged in the variables... Didn't seem to get the right answer. I'm all out of ideas... I really don't know where to go from there... I've spent 30mins on this problem so far.
 
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Your formula is correct. What answer did you get? If you show the details of the substitution it should be easy to pinpoint the error (if there is one).
 
= 2((-5.00 cm-3.00 cm) - (14.0 cm/s)(2.00 s)) / (14.0 cm/s)^2

= 2(-8 cm - 28 cm) / 196 cm^2/s^2

= -0.367 cm/s^2NOT the correct answer.
 
= 2((-5.00 cm-3.00 cm) - (14.0 cm/s)(2.00 s)) / (14.0 cm/s)^2
In place of your 14.0, I had 2. The time is 2, not 14.
 
Delphi51 said:
In place of your 14.0, I had 2. The time is 2, not 14.

ahhhhhh thank you!

I am brilliant haha.
 
Everyone has made their share of little mistakes!
 

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