A car initially traveling eastward turns north by traveling in a circular path a

Question

A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure. The length of the arc ABC is 242 m, and the car completes the turn in 40.0 s. (a) Determine the car's speed. Incorrect: Your answer is incorrect. Your response differs from the correct answer by more than 10%. Double check your calculations. m/s (b) What is the magnitude and direction of the acceleration when the car is at point B? magnitude Incorrect: Your answer is incorrect. Your response differs from the correct answer by more than 10%. Double check your calculations. m/s2 direction Incorrect: Your answer is incorrect. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.

Explanation / Answer

The length of the arc is for a 90 degree or (?/2) radians is

l = r?

l = 242(?/2)

l = 379.94 m

so the constant speed is

v = l/t

v = 379.94 / 40.0

v = 9.5 m/s

acceleration at a uniform speed on a circular curve is

a = v

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