Finding Displacement with Constant Acceleration

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SUMMARY

The discussion centers on calculating displacement using the formula d = 1/2(v1 + v2)t, where a rocket's velocity changes from 204 m/s to 508 m/s over a 29.4-second interval. The initial calculation yielded an incorrect displacement of 4,468.8 m, while the correct displacement is 10,500 m. The discrepancy was attributed to a calculator error, which was resolved upon re-evaluation of the inputs.

PREREQUISITES
  • Understanding of kinematic equations, specifically displacement calculations.
  • Familiarity with the concept of constant acceleration.
  • Basic proficiency in using a scientific calculator for arithmetic operations.
  • Knowledge of significant figures in scientific calculations.
NEXT STEPS
  • Review kinematic equations for motion under constant acceleration.
  • Practice displacement calculations using different initial and final velocities.
  • Learn about significant figures and their importance in physics calculations.
  • Explore common calculator errors and how to avoid them in physics problems.
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Students studying physics, particularly those focusing on kinematics and displacement calculations, as well as educators looking for examples of common calculation errors in physics assignments.

MemoIhad
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Hi there, I'm having a problem with this question, it seems like I'm doing everything perfect but still getting the wrong answer:

Homework Statement


During a 29.4-s interval, the velocity of a rocket changes from 204m/s [fwd] to 508m/s [fwd]. Assuming constant acceleration, determine the displacement of the rocket during this time interval.


Homework Equations


d=1/2(v1+v2)t


The Attempt at a Solution



t=29.4s
v2=508m/s [fwd]
v1=204m/s [fwd]
d=?

d=1/2(204+508)x29.4
=4,468.8m

This answer is wrong, the correct answer (based on the book) is 10500m [fwd]

THANKS!
 
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When I evaluate d=1/2(204+508)x29.4, I get 10500. (actually, 10466.4; rounded to 3 significant digits, it agrees) Your problem is apparently a calculator mistake - either hit a wrong button or you aren't typing it in correctly.
 
Ya, I just re-did it, I got the correct answer, which is weird, because I re-tryed it 3 times and still got 4,468.8m, but suddenly I get 10500! I hate mistakes like this, it drives me crazy for no reason. THANKS for the quick reply! I can now stop being frustrated.
 

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