Acceleration Vector of a car in a turn

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Acceleration Vector
Vector = (Magnitude, Direction)

I am trying to calculate the acceleration vector acting on a car moving at a constant speed but changing direction. Example: A car is traveling 60 mph north (88 f/s north (V1)). It comes to a constant curve in the road that it takes 15 seconds to complete. The car’s velocity is now 88 f/s east (V2). No change in speed, just change in direction.

I have:
• V1 = (88, 0)
• V2 = (88, 90)
• Change in direction 90 degrees
• Delta Time seconds = 15
• Degrees change per second = 6
• The acceleration is acting perpendicular to the velocity vector.

What I have not figured out:
• What is the magnitude of the acceleration vector acting perpendicular to the velocity vector?


Thanks
 


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