- #1

Ohoneo

- 22

- 0

**Typical "when do they collide" problem**

## Homework Statement

In a historical movie, two knights on horseback start from rest 92 m apart and ride directly toward each other to do battle. Sir George's acceleration has a magnitude of 0.18 m/s2, while Sir Alfred's has a magnitude of 0.34 m/s2. Relative to Sir George's starting point, where do the knights collide?

## Homework Equations

I would guess the 4 kinematics equations (as acceleration is constant)

v = v0 + at

x = 1/2(v0+v)t

x = v0t + 1/2 at^2

v^2 = v0^2 + 2ax

## The Attempt at a Solution

Well, basically I think my attempts ended up being long and fruitless. I had NO idea how to start this problem and tried finding the position by hand plugging in 1, 2, 3, etc for time and figuring out how close the knights were coming to each other. Didn't work so well.

I thought I should make two equations equal to each other but didn't know what equations or where to start. Now I think I should be replacing t or x (position) in one of the equations, since I'm missing two variables instead of just one but I'm not sure how to relate the two... Any help at all is appreciated!