What is the acceleration and average speed of a car in circular motion?

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The discussion focuses on calculating the acceleration and average speed of a car moving in circular motion while turning from east to north. The car travels an arc length of 265 m in 32.0 seconds, prompting calculations for acceleration at a specific angle and average speed. The acceleration can be expressed using unit vectors, while the average speed is derived from the total distance over time. Additionally, the average acceleration during the 32.0 seconds is calculated using relevant equations. Engaging with the questions first is encouraged before seeking assistance.
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A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure below. The length of the arc ABC is 265 m, and the car completes the turn in 32.0 s.
p6-12.gif

(a) What is the acceleration when the car is at B located at an angle of 35.0°? Express your answer in terms of the unit vectors i hat and j hat .

(b) Determine the car's average speed.


m/s

(c) Determine its average acceleration during the 32.0 s interval.
Equations

Ac=v^2/r
 
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