Symmetry in projectile motion and velocity graphs

[NRP]

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

 

[lewando]

Happy to help. Let's start with: do you understand symmetry?

 

[NRP]

yes i do..

 

[lewando]

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?

 

[NRP]

No there is no drawing to this question

 

[lewando]

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.

 

[NRP]

motion along x-axis independent of motion along y axis

 

[lewando]

I was you would be familir with a type of symmetry--like reflection (mirror) symmetry. Yes?

 

[NRP]

ya...

 

[lewando]

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)?

 

[NRP]

I don't understand..

 

[lewando]

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?