Calculating Distance for a Shunted Rail Carriage

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SUMMARY

The discussion focuses on calculating the distance traveled by a shunted rail carriage with a mass of 1200 kg and an average acceleration of 0.6 m/s² over 60 seconds, starting from rest. The correct formula applied is \(d = V \cdot T + \frac{1}{2} A \cdot T^2\), leading to the calculation \(0 \cdot 60 + 0.5 \cdot 0.6 \cdot 60^2\). The resulting distance of 1080 meters is confirmed as accurate.

PREREQUISITES
  • Understanding of basic physics concepts such as mass, acceleration, and distance.
  • Familiarity with kinematic equations, specifically \(d = V \cdot T + \frac{1}{2} A \cdot T^2\).
  • Ability to perform calculations involving units of measurement (meters, seconds).
  • Knowledge of basic algebra for manipulating equations.
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  • Study kinematic equations in detail, focusing on their applications in physics problems.
  • Explore real-world applications of acceleration in transportation systems.
  • Learn about the effects of mass on motion and acceleration in physics.
  • Investigate advanced topics in dynamics, such as friction and resistance in rail systems.
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for practical examples of kinematic equations in action.

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Homework Statement



a rail carraige has a mass of 1200kg. the train engine shunts it along the track giving it an average acceleration of 0.6ms-2. determine the distance traveled by the carraige in 60 seconds if started from rest.

Homework Equations


i think its something like V*T + 1/2A*Tsquared


The Attempt at a Solution



0*60 + .5*.6 * 60 squared

this number seems to big what am i doing wrong?
 
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the answer i am getting is 1080m
 
thats right
 

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