Calculating Average Acceleration in an Acceleration Test

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SUMMARY

The discussion focuses on calculating the average acceleration of a car in an acceleration test, where two markers are placed 0.30 km apart. The initial velocity (v1) is 5.0 m/s, and the final velocity (v2) is 33.0 m/s. The correct formula for average acceleration (aav) is derived from the kinematic equation Vf² = Vi² + 2aav(d). The user initially miscalculated the average acceleration due to a unit conversion error, failing to convert kilometers to meters.

PREREQUISITES
  • Understanding of basic kinematics
  • Familiarity with the equation Vf² = Vi² + 2aav(d)
  • Knowledge of unit conversions (kilometers to meters)
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Review kinematic equations and their applications in physics
  • Practice unit conversion techniques, specifically for distance measurements
  • Explore examples of average acceleration calculations in different contexts
  • Learn about the implications of acceleration in real-world scenarios, such as vehicle dynamics
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Students studying physics, particularly those focusing on kinematics, as well as educators looking for practical examples of acceleration calculations.

CraZyFanAtiC
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Hey, guys just joined PF, was hoping you could help with this questions and in turn maybe i can return the favour (with the little physics knowledge I have).

Homework Statement


In a acceleration test, 2 markers are placed 0.30 km apart. The first car passed the first marked with a velocity of 5.0 m/s [E], the second passed the marker with a velocity of 33.0 m/s [E]. Calculate the Cars average acceleration.


Homework Equations


v1 = 5.0 m/s [E]
v2 = 33 m/s [E]
Delta D = 0.30 km
Aav = ?

The kinematics that i am using is Vf² = Vi² + 2aav(d)

The Attempt at a Solution


The problem i am having is rewriting the equation.
I need to rewrite this for aav.

Vf² - Vi² = Vi² + 2aav(d)

vf² - vi²/2(d) = aav

This is what i have so far, but it must be wrong i just don't see how. When i plug in the numbers..

1089 - 25/2(0.3) = aav
1064/0.6 = aav
aav = 1773.3

this can't be right can anyone help me?
 
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Hi CraZyFanAtic, welcome to PF.
Convert the distance from kilometer to meter.
 
rl.bhat said:
Hi CraZyFanAtic, welcome to PF.
Convert the distance from kilometer to meter.

O, wow do i feel stupid. First time I've seen a question like that just didn't think about it, thanks a lot. Saved me a lot of time.
 

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