Will the Tractor and Tesla Avoid a Collision on the Mountain Road?

[BvU]

Can you see some errors?

Lazy eh ? Me, too
You didn't have x(-vB/aB) on the left, you had 0 there!

 

[BvU]

How do you get $-{1\over 2 }v_{B,i} \;t$ ?

If $\ \ 0 - v_{B,i} = at \ \$ then $\ \ {1\over 2 } a t^2 = - {1\over 2 } v_{B,i} \; t\ \$

 

[ChrisBrandsborg]

Lazy eh ? Me, too
You didn't have x(-vB/aB) on the left, you had 0 there!

I don't fully understand, you als have the function = 0?
Do you get $-{1\over 2 }v_{B,i} \;t$ from the position function or from 0-v_B = at ?

 

[ChrisBrandsborg]

If $\ \ 0 - v_{B,i} = at \ \$ then $\ \ {1\over 2 } a t^2 = - {1\over 2 } v_{B,i} \; t\ \$

Oh, yeah, true :) så then you can insert that into the other function to get a?

 

[BvU]

I don't fully understand, you als have the function = 0?

I quoted from post #70

=> (aB/2)t^2 + vB(initial)*t - vA(initial)*t + xBi = 0

I insert $\ \ a = -v_{B,i} / t \ \$ in $\ \ {1\over 2 } a t^2 \ \$ to get a simple equation in terms of one unknown, namely $\ \ t$

 

[ChrisBrandsborg]

I quoted from post #70

I insert $a = -v_{B,i} / t$ in $\ \ {1\over 2 } a t^2$ to get a simple equation in terms of one unknown, namely $\ \ t|$

Okay! I will try to solve it now! Thanks a lot :)

 

[ChrisBrandsborg]

I got t = 1.95, and put that into a = (-v_B/t) and got a = 11.4m/s²

 

[BvU]

And, does that look sensible ?
(It's what I got -- but that doesn't mean a thing )

 

[ChrisBrandsborg]

And, does that look sensible ?
(It's what I got -- but that doesn't mean a thing )

It looks better than the last solution :D
But yeah, it look sensible:)

 

[Anonym11123]

How do you know that the tractor will stop?

 

[BvU]

Hello noname,

This is a year old ! But I think the calculations are up to a certain moment (the collision). After that, the tractor may well roll over the Tesla if the driver still lisn't looking.