How do you put force in a projectile equation

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SUMMARY

The discussion focuses on integrating the formula F=ma into the projectile motion equations. The key takeaway is that the acceleration (a) in F=ma corresponds to the gravitational acceleration in the projectile motion formula. When analyzing projectile motion, it is essential to separate the equations for the x and y directions, as the initial velocity components and gravitational acceleration influence the projectile's trajectory. Understanding these relationships is crucial for accurately modeling projectile motion.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Basic knowledge of projectile motion equations
  • Familiarity with vector components in physics
  • Concept of gravitational acceleration (9.81 m/s²)
NEXT STEPS
  • Study the derivation of projectile motion equations
  • Learn how to resolve vectors into x and y components
  • Explore the effects of air resistance on projectile motion
  • Investigate the role of initial velocity in determining projectile range
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of projectile motion and force application.

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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