Deriving d = 1/2 a t2: Intro Physics Proof

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SUMMARY

The discussion focuses on deriving the equation d = 1/2 a t², which is fundamental in kinematics. The key equation provided is v = a * t, where v represents velocity, a is acceleration, and t is time. The derivation involves taking the derivative of distance (d) with respect to time (t) to obtain velocity. Participants express a need for clarity in understanding the mathematical principles underlying this physics concept.

PREREQUISITES
  • Basic understanding of kinematics
  • Familiarity with calculus, specifically derivatives
  • Knowledge of the relationship between velocity, acceleration, and time
  • Concept of uniform acceleration
NEXT STEPS
  • Study the principles of kinematics in physics
  • Learn how to calculate derivatives in calculus
  • Explore the concept of uniform acceleration and its equations
  • Practice deriving motion equations from fundamental principles
USEFUL FOR

Students studying physics, particularly those focusing on kinematics, as well as educators seeking to clarify the derivation of motion equations.

cosmic-barley
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Homework Statement


Show a derivation of d = 1/2 a t2

Homework Equations


hint: v=a*t

The Attempt at a Solution


I'm not sure how to attempt this. to be perfectly frank I am not well versed in physics/mathematics. If anyone could be of assistance, i would be most grateful.
 
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take the derivative of d with respect to t and that will give you the velocity.
 

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