Integration of an equation to find displacement

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SUMMARY

The discussion focuses on integrating a velocity function to determine displacement. The equation presented involves a constant term, specifically 1.9i, which is treated as A in the integration process. Participants clarify that the integral of a constant with respect to time is straightforward, yielding the result of A multiplied by time, plus a constant of integration. This foundational understanding is crucial for solving displacement problems in physics.

PREREQUISITES
  • Understanding of basic calculus, specifically integration techniques.
  • Familiarity with physics concepts, particularly velocity and displacement.
  • Knowledge of constant functions in mathematical equations.
  • Ability to manipulate equations and apply integration rules.
NEXT STEPS
  • Study the fundamentals of definite and indefinite integrals in calculus.
  • Explore the relationship between velocity, acceleration, and displacement in physics.
  • Practice integrating various functions to solidify understanding of integration techniques.
  • Review examples of applying integration to real-world physics problems.
USEFUL FOR

Students studying calculus and physics, educators teaching integration methods, and anyone seeking to understand the application of integration in determining displacement from velocity functions.

AryRezvani
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Homework Statement



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Homework Equations



Above

The Attempt at a Solution



Okay, so I understand I need to integrate the top equation because it's velocity as a function of time.

I just don't know how.
 
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For starters, the hint is suggesting that you can think of 1.9i as a constant, represented by A.

So, what is [itex]\int A \ dt[/itex] ?
 

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