How to Rearrange the Formula d=Vft-1/2at^2 to Solve for a

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SUMMARY

The formula d = Vft - 1/2at^2 can be rearranged to solve for acceleration (a) as follows: a = 2(Vft - d) / t^2. This rearrangement is crucial for accurately determining acceleration in kinematic equations. Proper placement of brackets is essential to avoid errors in calculations, as incorrect formatting can lead to losing marks in examinations.

PREREQUISITES
  • Understanding of kinematic equations
  • Familiarity with algebraic manipulation
  • Knowledge of the variables: distance (d), final velocity (Vf), time (t), and acceleration (a)
  • Basic mathematical skills for handling fractions and brackets
NEXT STEPS
  • Practice rearranging other kinematic equations, such as v = u + at
  • Explore the implications of acceleration in real-world physics problems
  • Learn about the significance of units in kinematic equations
  • Review common mistakes in algebraic manipulation to avoid errors in exams
USEFUL FOR

Students studying physics, particularly those focusing on kinematics, as well as educators looking to clarify algebraic methods for solving equations.

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Homework Statement



rearrange the formula d=Vft-1/2at^2 to solve for a

Homework Equations



d = Vft-1/2at^2
d+ 1/2at^2 = Vft
1/2at^2 = Vft-d
1/2a = Vft-d / t^2

then does a = 2 (Vft-d / t^2)


The Attempt at a Solution

 
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That is correct.
 
excellent thank you
 
annjolino said:
then does a = 2 (Vft-d / t^2)

Hi annjolino! :smile:

What I expect you meant is right …

but what you've written is wrong …

should be a = 2 (Vft-d) / t^2 …

you'll lose marks in the exam if you get brackets in the wrong place! :wink:

(and you could have missed out the line d+ 1/2at^2 = Vft)
 

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