@yataqii: If a chaser is twice as fast as the target, you’d expect a quick intercept. But what happens when the chaser is forced to follow a "Pure Pursuit" rule? #Physics #Mathematics #ScienceCommunication #STEM #Education

Roan_vh :

Im not sure about my calculations, but i think they meet around (0, 20.8)

Tommy :

y=20

Breezy :

a pursuer can never catch up to it's target. There are an infinite number of halfway points it will never be able to cross all of them.

Stephen Thilenius :

20m ... complicated ODE!

romainrescanieres :

Complementary question : total length traveled by B ?

Tristan :

Yall realize it’s a right triangle. Knowing C (using Pythagorean notations) will always be 2a, you can assume theta A will be 30, and b will be 60. Therefore the simple calc is “a = b * tan(theta A). Rreturning 17.32m as the height of object 1. (There is no acceleration given, no friction or mass so there is no physics involved, just math)

Robert A. Henkel 🗝️ :

Started working out the diff eq, decided I’d rather just see the solution and how you explain it.

Josh Hawn :

Neat, so it’s independent of V?

Dom3690 :

If 2X + Y =30 then at Y=0 then X =15?

hi tech pro :

P is gonna be at 18.54 approximatly. koeficient of curvature, damping and atractor is gonna be 0.756 app, so the curve is gonna be 37.133 approximatly.

Jake :

Or are you asking. The length of B?

dylotjw5ahp4 :

since the blue point is described by (0, vt) we can calculate the height y=v • t_intercept for different v values by the plot below, where we simply take the product of the point coordinates below. Cool problem :)

surfing_guy_LE :

in this case it's always on the y axis

👽 :

20

Matt 🇬🇧 :

I don’t know the answer but I’d like to know if the curvature is naturally the fastest route or whether anticipating the point of contact and plotting a straight line would be quicker!?

landonise :

eddie✌️ :

0,15

Frank Grafschaft :

Answer should be (0,20)

3 Green Cats :

just making a huge guesstimation, but wouldn't it be around ⅓ the length of B?

Abbéy Orjay :

This is how I explain diff eq

Jake :

30

Domino :

Kinematik → Leitstrahlkurve

️ :

y = (2/ (22 - 1)) * 30 = (2/3) * 30 = 20 meters

Snookie.26 :

6

tg :

y=30