Solve Uniform Acceleration: Find a = -12.4872 cm/s^2

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SUMMARY

The discussion centers on solving for acceleration in a uniform acceleration scenario, where an object has an initial velocity of 17.0 cm/s and moves from an initial position of 3.00 cm to a final position of -5.00 cm over 2.60 seconds. The correct application of the equation x = x_0 + v_0 t + (1/2) a t^2 reveals that the acceleration is -12.4872 cm/s². A key error identified was the misinterpretation of the final position, which should be -5.00 cm instead of 5.00 cm, clarifying the calculations.

PREREQUISITES
  • Understanding of kinematic equations, specifically x = x_0 + v_0 t + (1/2) a t^2
  • Basic knowledge of uniform acceleration concepts
  • Ability to manipulate algebraic equations to solve for unknowns
  • Familiarity with interpreting positive and negative coordinates in motion problems
NEXT STEPS
  • Review kinematic equations for one-dimensional motion
  • Practice solving problems involving uniform acceleration
  • Explore graphical representations of motion to better understand position and velocity
  • Investigate common mistakes in interpreting coordinate systems in physics problems
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone needing to understand uniform acceleration calculations.

hsma
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1. An object moving with uniform acceleration has a velocity of 17.0 cm/s in the positive x direction when its x coordinate is 3.00 cm. If its x coordinate 2.60 s later is -5.00 cm, what is its acceleration?




2.
[tex]x = x_0 + v_0 t + (1/2) a t^2[/tex]




3.
X = 5
Xo = 3
V = 17
Vf = 17
a = ?
t = 2.6

Does these values seem correct? I plug them into the equation above but I am not getting the right answer. i got -12.4872 cm/s. what am i doing wrong?
 
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hsma said:
1. An object moving with uniform acceleration has a velocity of 17.0 cm/s in the positive x direction when its x coordinate is 3.00 cm. If its x coordinate 2.60 s later is -5.00 cm, what is its acceleration?




2.
[tex]x = x_0 + v_0 t + (1/2) a t^2[/tex]




3.
X = 5
Xo = 3
V = 17
Vf = 17
a = ?
t = 2.6

Does these values seem correct? I plug them into the equation above but I am not getting the right answer. i got -12.4872 cm/s. what am i doing wrong?


The value you're using for X is wrong—note that the object starts to the right of the origin and ends at the left for this period of time.
 
oh man -5!, i thought this whole time it was 5. well this clears up a lot of headache
 

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