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- Homework Statement
- Hello everyone, I have recently joined a physics summer school, for which I have to do homework every day. But I couldn't manage to solve today's problem, so I'm seeking help from you guys.

The question is about two particles moving on a one dimensional path. First one is at x=0 when t=0, and moves with a velocity of V1 and acceleration a1. The other one is at x=L>0 when t=0 and moves with a velocity of V2 and acceleration a2.

- Relevant Equations
- x(t)=x0+v*t+1/2*a*t^2

Hello everyone, I have recently joined a physics summer school, for which I have to do homework every day. But I couldn't manage to solve today's problem, so I'm seeking help from you guys.

The question is about two particles moving on a one dimensional path. First one is at x=0 when t=0, and moves with a velocity of V1 and acceleration a1. The other one is at x=L>0 when t=0 and moves with a velocity of V2 and acceleration a2. Questions:

In which cases do the objects:

a) not crash

b)crash one time as they go opposite directions

c)crash one time as they go in the same directions

d)crash twice in opposite directions

e)crash twice in same directions

f)crash twice, first traveling in the same direction and then in the opposite direction

g)crash twice, first traveling in the opposite direction and then in the same direction.

Now I understand that it must be x2(t)>x1(t) if they don't crash. I tried solving this inequality but I couldn't eliminate t and my math wasn't good enough for this inequity. I assume I have to find a way to eliminate t to solve further questions as well. So if you can help me I would really appreciate that. Thank you in advance for you help.

The question is about two particles moving on a one dimensional path. First one is at x=0 when t=0, and moves with a velocity of V1 and acceleration a1. The other one is at x=L>0 when t=0 and moves with a velocity of V2 and acceleration a2. Questions:

In which cases do the objects:

a) not crash

b)crash one time as they go opposite directions

c)crash one time as they go in the same directions

d)crash twice in opposite directions

e)crash twice in same directions

f)crash twice, first traveling in the same direction and then in the opposite direction

g)crash twice, first traveling in the opposite direction and then in the same direction.

Now I understand that it must be x2(t)>x1(t) if they don't crash. I tried solving this inequality but I couldn't eliminate t and my math wasn't good enough for this inequity. I assume I have to find a way to eliminate t to solve further questions as well. So if you can help me I would really appreciate that. Thank you in advance for you help.