How do I find velocity from acceleration?

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SUMMARY

The discussion focuses on calculating velocity from acceleration using the example of an automobile and a truck starting from rest. The truck accelerates at 2.00 m/s² while the automobile accelerates at 3.42 m/s², eventually overtaking the truck after the truck has traveled 41.0 meters. The formula used is r = r + Vt + 1/2at², but a calculation error is identified when determining the final velocity, leading to confusion about the correct result.

PREREQUISITES
  • Understanding of kinematic equations, specifically r = r + Vt + 1/2at²
  • Basic knowledge of acceleration and its units (m/s²)
  • Familiarity with the concept of initial velocity (starting from rest)
  • Ability to perform algebraic manipulations to solve for unknowns
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  • Practice problems involving constant acceleration scenarios
  • Learn how to derive final velocity from acceleration and distance
  • Explore graphical representations of motion to visualize acceleration and velocity
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Students studying physics, educators teaching kinematics, and anyone interested in understanding the relationship between acceleration and velocity in motion scenarios.

dyslexiateech
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How do I find velocity from acceleration??

1. An automobile and a truck start from rest at the same instant, with the automobile initially at some distance behind the truck. The truck has a constant acceleration of 2.00 , and the automobile an acceleration of 3.42 . The automobile overtakes the truck after the truck has moved a distance 41.0 .



r=r+Vt+1/2at^2



I get 40=vf^2/4, which gives me 40, but that's not right.
 
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Hi dyslexiateech ! Welcome to PF! :smile:

(try using the X2 tag just above the Reply box :wink:)

Show us your full calculations, and then we'll see what went wrong, and we'll know how to hlep! :smile:
 

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