Mastering Projectile Motion Equations: A Comprehensive Guide

In summary, the conversation discusses projectile motion equations and the use of initial position. It is advised to use the proper formatting template when posting a question in the homework sections of Physics Forums. The basic equations for 1-D kinematics can be found in the pinned thread "Introductory Physics Formulary." Projectile motion uses the same equations, with the addition of those pertaining to Work, Mechanical Energy, and Power. A PDF file may be helpful, but it is recommended to have a strong understanding of the equations rather than relying on a sheet with all of them.
  • #1
TimeInquirer
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I was recently doing a few projectile motion equations and noticed that the formula used changes depending on whether or not a given initial position. Am I correct, or am I misinterpreting the situation and manipulation of the equation? Also, can someone provide a file or pdf for all the projectile motion equations? Thank you very much.
 
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  • #2
Hi TimeInquirer,

When you post a question here in the homework sections of Physics Forums we require that the formatting template be used regardless of the nature of the inquiry. Please keep this in mind for future posts. Your query could have been better formulated with specific examples to demonstrate your point.

If a given problem does not provide an initial position and an initial position is irrelevant to the nature of the given problem, then sure, the initial position parameter will be dropped if the required equation has one, or more likely, a different kinematic equation will be required for the given set of known values and the result sought (see in particular the SUVAT equations).

Regarding your request for a list of equations, note that there is a pinned thread at the top of the thread list titled "Introductory Physics Formulary". Take a look there.
 
  • #3
Thank you. I understand what is needed now. However, I was not able to find a set of projectile motion equations in that thread.
 
  • #4
TimeInquirer said:
Thank you. I understand what is needed now. However, I was not able to find a set of projectile motion equations in that thread.
The basic equations are covered under the heading Basic Equations of 1-D Kinematics. Projectile motion employs the same equations (the ones that include acceleration are used for the vertical component of the motion). Related formulas are those pertaining to Work, Mechanical Energy, and Power under the heading of the same name.
 
  • #5
This attachement might help (it may not):
 

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  • #6
Dear TI,
Surprised by your question, also in view of your earlier threads. For several reasons:

One is that once you understand the matter at college level, you don't need a sheet with "all the equations": you know that it's linear uniform motion in one direction and linear motion with constant acceleration in the other direction, independent of and ##\perp## the first. And at your level you can whip up the integrations from a to v to x or y in no time.

Another is that you know exactly what to look for -- witness the title you chose for this thread. Google it and you can eat your heart out at all the stuff you can possibly think of.

But then I'm really puzzled you need to be pointed explicitly to the heading basic equations of 1D kinematics.

As I said, surprised, puzzled and somewhat intrigued,
BvU
 
  • #7
BvU said:
Dear TI,
Surprised by your question, also in view of your earlier threads. For several reasons:

One is that once you understand the matter at college level, you don't need a sheet with "all the equations": you know that it's linear uniform motion in one direction and linear motion with constant acceleration in the other direction, independent of and ##\perp## the first. And at your level you can whip up the integrations from a to v to x or y in no time.

Another is that you know exactly what to look for -- witness the title you chose for this thread. Google it and you can eat your heart out at all the stuff you can possibly think of.

But then I'm really puzzled you need to be pointed explicitly to the heading basic equations of 1D kinematics.

As I said, surprised, puzzled and somewhat intrigued,
BvU
No need to mention your reaction 3 times in one post. It was just a way to make sure the all the necessary equations were in place and to avoid spending an hour looking at high school level equations (I was hoping there would be a pdf file someone had already shared) .

"But then I'm really puzzled you need to be pointed explicitly to the heading basic equations of 1D kinematics"- I am really puzzled that you were unable to see the starter banner on my icon...
 

FAQ: Mastering Projectile Motion Equations: A Comprehensive Guide

What is projectile motion?

Projectile motion refers to the motion of an object that is projected into the air and then moves under the force of gravity alone.

What are the key equations used to describe projectile motion?

The key equations used to describe projectile motion are the horizontal motion equation (x = x0 + v0xt), the vertical motion equation (y = y0 + v0yt - 1/2gt2), and the range equation (R = v0xt).

How do you calculate the maximum height of a projectile?

The maximum height of a projectile can be calculated using the vertical motion equation and setting the final velocity (vy) equal to 0. This will give you the time (t) it takes for the projectile to reach its maximum height. Then, plug this time into the same equation to find the maximum height (y).

Can you use projectile motion equations for non-uniform motion?

No, projectile motion equations can only be used for uniform motion, where the acceleration is constant. Non-uniform motion requires the use of calculus and more complex equations.

How does air resistance affect projectile motion?

Air resistance can affect projectile motion by slowing down the object and changing its trajectory. This can be accounted for by adding a drag force term to the equations, making them more complex and difficult to solve.

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