Need quick help with finding positional equation

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SUMMARY

The discussion focuses on a physics problem involving a tractor and a Tesla, both braking with constant acceleration. The tractor travels at 40.0 km/h and the Tesla at 80.0 km/h, both decelerating at 5.00 m/s². The initial distance between them is 60.0 m. To determine if they collide, participants suggest using the positional equation x(t) = -a/2*t² + v*t + x, and recommend selecting one vehicle as a reference point to calculate the other's position over time.

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Homework Statement


A huge tractor and a Tesla full of school children come driving along a winding
mountain road, in opposite directions. The tractor has a speed of
40.0km/h and the car zooms along with 80.0km/h. The Tesla suddenly comes around a
corner, sees the tractor, and they both immediately start braking, both with
constant accelerations of 5.00m/s^2 (opposite to their directions of motion).
a) If the initial distance between the two is 60.0m, do they hit each other? If
so, where, and with what relative speed on impact? If not, what is the distance
between the two when they both stop?

Homework Equations


x(t)= -a/2*t2 + v*t + x

Dont know how to find the positional equations of the two vehicles and then solve for t to find where they crash.
 
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Pick one of the vehicles as your frame of reference (so its position is always at x=0) and use the combined relative velocities, accelerations, etc. in your equation to calculate the other vehicle's position. See how far that gets you.
 
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