What is the time taken for these 2 cars to meet?

[nyrychvantel]

Homework Statement

Two cars, P and Q, are 1400m apart.
P is traveling at 15 ms^-1, Q is accelerating from rest at 5.0 ms^-2
They are traveling opposite direction(i.e. they are facing each other), what is the time taken for them to meet?
Also, what is the distance traveled by each car before meeting each other?

Homework Equations

a = \frac{v-u}{t}

The Attempt at a Solution

I got a = 5t, but it did not seem to help much...
Do I have to draw a graph for this question?

 

[ritwik06]

Homework Statement

Two cars, P and Q, are 1400m apart.
P is traveling at 15 ms^-1, Q is accelerating from rest at 5.0 ms^-2
They are traveling opposite direction(i.e. they are facing each other), what is the time taken for them to meet?
Also, what is the distance traveled by each car before meeting each other?

Homework Equations

a = \frac{v-u}{t}

The Attempt at a Solution

I got a = 5t, but it did not seem to help much...
Do I have to draw a graph for this question?

No, just write out the position dependence over time for the two cars and equate. Assume Car 1 to b at x=0 and the second car to be at x=1400
Use
S=u*t+0.5*a*t*t (for the accelerated motion) (Use negative sign for acceleration)
S=v*t (for the constant velocity motion)

 

[nyrychvantel]

Thank you!
I forgot I can use area under a V-T graph of constant acceleration (and sub v=at) to get the total distance traveled by car Q.