5. O 2/3 points | Previous SerCP11 7.P.015 Notes Ask Your Tea A car initially tr

Question

5. O 2/3 points | Previous SerCP11 7.P.015 Notes Ask Your Tea A car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in the figure below. The length of the arc ABC is 223 m, and the car completes the turn in 32.0 s 01 35.00 (a) Determine the car's speed. 6.96 m/s (b) What is the magnitude and direction of the acceleration when the car is at point B? magnitude 0.0493 |X direction 145 Your response differs from the correct answer by more than 10%. Double check your calculations. m/s2 counterclockwise from the +x-axis Need Help? 6.-T points SerCP 11 7.PO19 My Notes Ask Your T

Explanation / Answer

(a)

length of arc s = 223 m = (2*pi*r)/4

r = 223*4/(2pi) = 142m

speed v = distance /time = 223/32 = 6.96 m/s

(b)

acceleration a = v^2/r = 6.96^2/142 = 0.341 m/s^2

(c)

direction = 90 +55 = 145 degrees

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