- #1
ImmmCanadian
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Homework Statement
Two cars are facing each other on a long straight airport runway. They are initially separated by a distance of 1 km. Car A begins to accelerate towards the other car at a uniform 0.5 ms^-2. Ten seconds later car B begins to move towards the other car with a uniform acceleration of 1 ms^-2. When and where do the two cars meet?
Car A:
u=0
v=?
a=0.5
t=t
s=1000-x
Car B:
u=0
v=?
a=1
t=t-10
s=x
Homework Equations
s=vt
s=ut + 1/2at^2
s=vt-1/2at^2
v^2 = u^2 + 2as
The Attempt at a Solution
1000-x= 0(t)+1/2(0.5)(t)^2
x= 0(t)+1/2(1)(t-10)^2[/B]
1000-x+x=.25t^2+0.5(t-10)^2
1000=.25t^2+0.5t^2-10t+50
0=.75t^2-10t-950
t=42.88 or -29.52
t=42.88
Which is wrong.
My confusion is coming from how to set equations equal to each other, not only in this problem.