Tangent line to a particles path at a specific time?

Click For Summary

Homework Help Overview

The discussion revolves around finding the orientation of a tangent line to a particle's path at a specific time, t = 2.10 s, based on the particle's position, velocity, and acceleration in the xy-plane.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate the angle of the tangent line using the components of the velocity vector and the inverse tangent function. Other participants question the method used to derive the angle and discuss the quadrant in which the velocity lies.

Discussion Status

Participants are exploring different interpretations of the angle calculation and discussing the implications of the velocity vector's quadrant. There is no explicit consensus on the correct approach yet, but guidance is being offered regarding the use of inverse tangent and quadrant considerations.

Contextual Notes

There is a mention of potential confusion regarding angle measurement and quadrant identification, which may affect the interpretation of the results. The original poster's calculations and assumptions about the tangent line's orientation are under scrutiny.

badtwistoffate
Messages
81
Reaction score
0
how do you find orientation of a line that is tangent to the particle's path at t = 2.10 s?(from the +x axis)
before this i found the position r of a particle moving in an xy plane is given by r = (1.00t3 - 8.00t) i + (7.00 - 4.00t4) j.
So I found r,v,a, for t=2.10s (all in m)
r=-7.54 i +-70.8 j
v=5.23 i + -148 j
a=12.6 i + -212 j
i first tried using v's i and j to make a triangle and find the angle from that by inverse tan (-148/5.23) and got -87degress or -212 but that was wrong...
any help?
 
Physics news on Phys.org
i got 272 degree from the + x-axis in anticlockwise direction.
 
how did u get that?
did you just do the inverse tan and adding to 360? does that make sense?
 
your v lies in the fourth quadrant.
 

Similar threads

Replies
14
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 21 ·
Replies
21
Views
3K
Replies
3
Views
9K
Replies
1
Views
4K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 1 ·
Replies
1
Views
3K