Two cars drive on a straight highway. At time t = 0 , car 1 passes mile marker 0

Question

Two cars drive on a straight highway. At time t=0, car 1 passes mile marker 0 traveling due east with a speed of 16.0m/s . At the same time, car 2 is 0.80km east of mile marker 0 traveling at 28.0m/s due west. Car 1 is speeding up with an acceleration of magnitude 0.20m/s2 , and car 2 is slowing down with an acceleration of magnitude 0.60m/s2 .

NEED HELP WITH PROBLEM B PLEASE*!*! I got 3.75 and 216.25 using qudratic formula

Two cars drive on a straight highway. At time t = 0, car 1 passes mile marker 0 traveling due east with a speed of 16.0m/s. At the same time, car 2 is 0.80km east of mile marker 0 traveling at 28.0m/s due west. Car 1 is speeding up with an acceleration of magnitude 0.20m/s2, and car 2 is slowing down with an acceleration of magnitude 0.60m/s2 At what time do the cars pass next to the another? Express your answer using two significant figures.

Explanation / Answer

so set x1 = x2
so we have
16 t + .1 t^2 = 800 - 28 t + 0.3 t^2

simplify
0.2 t^2 -44 t + 800 =0

quadratic formula
t= 20 s

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