Two-Dimension Motion: Symmetry & Projectiles

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In summary, the conversation is discussing symmetry in relation to projectile motion. The speaker asks for three examples of symmetry in motion and explains that they are free to discuss any type of projectile motion. They then ask the other person to share their knowledge of symmetry and if they have encountered a scenario where a projectile is launched with initial velocity. The other person expresses confusion and the speaker asks for clarification.
  • #1
NRP
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I have some question. Can you please help me to make me understand.

1. identify three or more instances of symmetry in its motion. Provide an explanation for each instance.

2. what does a (horizontal component) velocity-time graph look like for projectile

3. what does a (vertical component) velocity-time graph look like for projectile
 
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  • #2
Happy to help. Let's start with: do you understand symmetry?
 
  • #3
yes i do..
 
  • #4
Good. Is your original question complete? There are a couple references to "its motion" and "projectile". Is there a a picture or drawing related to this question?
 
  • #5
No there is no drawing to this question
 
  • #6
Okay, so we are free do discuss symmetry as it relates to any kind of projectile motion we can imagine. Please tell me what kinds of symmetry are you familiar with, so we can relate it to projectile motion.
 
  • #7
motion along x-axis independent of motion along y axis
 
  • #8
I was you would be familir with a type of symmetry--like reflection (mirror) symmetry. Yes?
 
  • #9
ya...
 
  • #10
Good. In your studies of projectile motion, have you encountered a situation where a projectile was launched (upwards, from the surface of the earth) with some initial velocity (speed and angle)? Assuming no air resistance, do you know what kind of shape this trajectory makes (either altitude as a function of horizontal distance, or altitude as a function of time)?
 
  • #11
I don't understand..
 
  • #12
I said before that I was happy to help--I still am. But now you have to help me. Can you elaborate on what, specifically, don't you understand?
 

FAQ: Two-Dimension Motion: Symmetry & Projectiles

What is symmetry in two-dimensional motion?

Symmetry in two-dimensional motion refers to the balance and proportion between the different components of an object's motion in the x and y directions. In other words, if a motion is symmetrical, it will have equal displacement, velocity, and acceleration in both the x and y directions.

How do we determine the symmetry of a projectile's motion?

The symmetry of a projectile's motion can be determined by analyzing its trajectory. If the projectile has a parabolic path, it is considered to have symmetry. This means that the projectile will reach the same height on its way up and down and will have the same range in both directions.

What is the significance of symmetry in two-dimensional motion?

Symmetry in two-dimensional motion is significant because it allows us to simplify the analysis of an object's motion. By considering only one dimension at a time, we can break down the complex motion into simpler parts and make accurate predictions about an object's position, velocity, and acceleration.

How does air resistance affect the symmetry of a projectile's motion?

Air resistance can impact the symmetry of a projectile's motion by causing it to deviate from its expected parabolic path. This is because air resistance creates a force in the opposite direction of the projectile's motion, causing it to slow down and change its trajectory. As a result, the projectile's motion may become asymmetrical.

Can an object have symmetry in one direction but not in the other?

Yes, an object's motion can have symmetry in one direction but not in the other. This is known as partial symmetry. For example, a projectile launched at an angle of 45 degrees will have symmetry in the x-direction, but not in the y-direction since it will have different displacement and velocity values at different points in its motion.

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