A really tough physics math problem that I am in major need of help with

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To determine if Tara will collide with Sean, start by writing the position equations for both vehicles based on their speeds and acceleration. Tara's position will be a function of time with a negative acceleration due to braking, while Sean's position will remain constant since he is moving at a steady speed. By equating the two position functions, you can find the time and distance of any potential collision. If the calculations show that they do not collide, you will need to calculate the final distance between them. This approach will clarify the dynamics of their movements within the tunnel.
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Homework Statement



Tara, driving at 30 m/s, enters a one-lane tunnel. She then observes Sean's slow moving van 155m ahead traveling at 5 m.s. Tara applies her brakes but can accelerate at only -2.00m/s/s because the road is wet. will there be a collision? if so, determine how far in the tunnel it occurs and at when it occurs. If not, determine the final distance between Tara and Sean.

Homework Equations





The Attempt at a Solution


i don't know where to start!
 
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Start by writing expressions for the position of each as a function of time. (One motion is just constant speed, the other is accelerated.) Measure the position of each from the tunnel entrance.

Once you have those expressions, you can solve for when and where they collide--if they do.
 
okay thanks! ill try that!
 

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