Manipulating the Symple Equation to Solve for Initial Velocity

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SUMMARY

The discussion focuses on manipulating the equation "d = 1/2 (Vf + Vi) t" to solve for the initial velocity (Vi). The user attempts to rearrange the equation but receives feedback indicating an error in their manipulation. The correct rearrangement is confirmed as "Vi = (2d/t) - Vf," emphasizing the importance of careful fraction handling in algebraic manipulation.

PREREQUISITES
  • Understanding of basic algebraic manipulation
  • Familiarity with kinematic equations in physics
  • Knowledge of variables: distance (d), final velocity (Vf), initial velocity (Vi), and time (t)
  • Ability to work with fractions and ratios
NEXT STEPS
  • Study the derivation of kinematic equations in physics
  • Practice solving for variables in algebraic equations
  • Learn about the implications of initial and final velocity in motion problems
  • Explore common mistakes in algebraic manipulation and how to avoid them
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Students studying physics, educators teaching kinematics, and anyone looking to improve their algebraic manipulation skills.

vnonwong
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Manipulate "d = 1/2 (Vf + Vi) t" to find Vi

Heres my attempt:

d = 1/2 (Vf + Vi) t
d/2 = (Vf + Vi) t
(d/2) / t = Vf + Vi
((d/2) / t) - Vf = Vf + Vi

I am pretty confident that i did this right but the equation seems to be a little funny looking and I just want to confirm with some pros here, thanks for reading and replying!
 
Physics news on Phys.org
not quite- 2d/t-vf=vi be careful with your fractions!
 

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