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SavageWarrior
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Homework Statement
Emily and Grace are each in a bumper car facing each other 10m apart. Emily moves toward Grace at a constant speed of 2.5 m/s. Grace accelerates toward Emily at a rate of 0.5 m/s^2. Relative to where Emily started, where do the two bumper cars collide?
Homework Equations
x=V[itex]_{}0[/itex]t+1/2at^2
x-x[itex]_{}1[/itex]=V[itex]_{}0[/itex]t+1/2at^2
The Attempt at a Solution
Grace
x=1/2at^2
x=(.5)(.5)t^2
x=.25t^2
Emily
x-10=2.5(t)
(.25t^2)-10=2.5(t)
.25t^2-2.5t-10=0
t=13.06, -3.06
x=.25(-3.06)^2
x=2.34
Can someone tell me if I did this correctly?
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