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This is not for an assignment as much as my own edification, but as it is a homework-style question, I thought this would be the best place. If not, I apologize.

Given two hockey pucks of radius R1 and R2 on a frictionless, infinite level plane, located at (X1,Y1) and (X2,Y2) and moving at constant velocities (Vx1,Vy1) and (Vx1,Vy1) respectively:

1) Determine whether or not the two pucks will ever collide.

2) How long in seconds until they collide?

D = ([X1-X2]

dX = Vx*dt

dY = Vy*dt

It seems obvious to start at figuring out if they are currently colliding, which is if the distance between them is less than their combined radii: D = ([X1-X2]

So I need to figure out how the position and velocity can be fit into this. I know the kinematic equations for position with respect to velocity and time are dX = Vx*dt and dY = Vy*dt, but I can't seem to figure out where to go next. It seems like it should be simple.

Thanks in advance

## Homework Statement

Given two hockey pucks of radius R1 and R2 on a frictionless, infinite level plane, located at (X1,Y1) and (X2,Y2) and moving at constant velocities (Vx1,Vy1) and (Vx1,Vy1) respectively:

1) Determine whether or not the two pucks will ever collide.

2) How long in seconds until they collide?

## Homework Equations

D = ([X1-X2]

^{2}+[Y1-Y2]^{2})dX = Vx*dt

dY = Vy*dt

## The Attempt at a Solution

It seems obvious to start at figuring out if they are currently colliding, which is if the distance between them is less than their combined radii: D = ([X1-X2]

^{2}+[Y1-Y2]^{2}) < (R1 + R2)So I need to figure out how the position and velocity can be fit into this. I know the kinematic equations for position with respect to velocity and time are dX = Vx*dt and dY = Vy*dt, but I can't seem to figure out where to go next. It seems like it should be simple.

Thanks in advance

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