Velocity Q: 2 Particles Collide in t secs

[simile]

Homework Statement

Two particles are moving towards each other from 100m apart. The velocity of particle 1 is given by v1=3t−5 and the velocity of the second particle is given by v2=−t+30. At what time (in seconds) do the particles collide?

Homework Equations

D/S=T

The Attempt at a Solution

 

[simile]

anyone?

 

[AlephNumbers]

Did you make an attempt to solve the problem? Why don't you show it so someone can help guide you to the solution.

 

[simile]

i generally do understand what to do in this situation.

 

[AlephNumbers]

Okay, then post your work. Are you familiar with basic integration techniques?

 

[simile]

i basically equalled both equations to 500. then i integrated to find when the displacement equals 500. Then i subbed the time back into v equations. After i added the velocity together ,and divided 500/speed.

 

[AlephNumbers]

equals 500

Why 500? The particles are 100 meters apart, right?

 

[haruspex]

i basically equalled both equations to 500. then i integrated to find when the displacement equals 500. Then i subbed the time back into v equations. After i added the velocity together ,and divided 500/speed.

Not sure where you are getting 500 from, but my guess is that either it should say 1000m in the OP or in the above you meant 50.
What makes you think that each will cover half the distance?