How do you put force in a projectile equation

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Discussion Overview

The discussion revolves around integrating the formula F=ma into the context of projectile motion, specifically how force relates to the equations governing projectile displacement. Participants explore the relationship between force, acceleration, and the components of motion in both horizontal and vertical directions.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant seeks assistance in incorporating F=ma into the projectile motion equation for displacement.
  • Another participant suggests that the "a" in F=ma corresponds to the acceleration in the projectile motion equation, indicating that this acceleration is due to gravity.
  • A further contribution emphasizes the need to consider both x and y components of acceleration when analyzing projectile motion, depending on the launch angle.
  • It is noted that after the initial launch, only gravitational acceleration influences the projectile's motion in the y direction, assuming no air resistance.

Areas of Agreement / Disagreement

Participants appear to agree on the role of gravitational acceleration in projectile motion, but the integration of force into the projectile equations remains a point of exploration without a definitive resolution.

Contextual Notes

The discussion does not resolve how to explicitly combine the force equation with the projectile motion equations, leaving assumptions about the initial conditions and the effects of air resistance unaddressed.

Archit
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Hi. I need to put the formula F=ma into the projectile formula
displacement =(initial velocity)time+acceleration(time2)/2

I've already tried it but can't. Please help me
Thanks.
 
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Archit said:
Hi. I need to put the formula F=ma into the projectile formula
displacement =(initial velocity)time+acceleration(time2)/2

I've already tried it but can't. Please help me
Thanks.

Welcome to the PF.

Sure you can. The "a" in your first equation is the "acceleration" in your second equation.
 
berkeman said:
Welcome to the PF.

Sure you can. The "a" in your first equation is the "acceleration" in your second equation.
That acceleration is from gravity and I want to know the force taken to throw an object
 
Archit said:
That acceleration is from gravity and I want to know the force taken to throw an object

So you write equations in both the x and y directions. Depending on the angle that the projectile is thrown, it may have both x and y components of acceleration that give the projectile initial velocity in the x and y directions. After that, only the acceleration of gravity affects the projectile in the y direction (assuming no air resistance effects).
 

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