Solving a Car's Acceleration in a Quarter Turn

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SUMMARY

The discussion focuses on calculating the total acceleration of a car moving at 35 m/s while navigating a quarter turn with a radius of 130 m and experiencing a constant tangential deceleration of 1.2 m/s². The final velocity (Vf) is determined to be 27.1 m/s, and the centripetal acceleration is calculated at 5.65 m/s². The total acceleration is found by vector summation of the centripetal and tangential accelerations, with the resultant vector's magnitude providing the final answer.

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Hi all, I can't figure out what the next step is on a problem. The problem is:
A car moving at a speed of 35 m/s enters a curve that describes a quarter turn of radius 130 m. The driver gently applies the brakes, giving a constant tangential deceleration of magnitude 1.2 m/s^2. Just before emerging from the turn, what is the magnitude of the car's acceleration?

I found that Vf = 27.1 and that the centripetal acceleration was 5.65 m/s^2 (I am not positive these are correct, however). I am stuck on what I do next in the question. Any help would be greatly appreciated.
 
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The total acceleration will be the vector sum of the centripetal acceleration (which acts in which direction?), and the tangential acceleration (which acts in the direction of the tangent to the circle). To calculate the "magnitude" of the car's acceleration, do the vector addition of the two components, and then take the magnitude of that resultant vector.
 
Awesome, thanks!
 

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