**Please show work for problems A-D** Part A Item 9 Find the component of this r

Question

**Please show work for problems A-D**

Part A Item 9 Find the component of this runner's average velocity between points A and B An athlete starts at point A and runs at a constant speed of 5.40 m/s around a round track 250 m in diameter, as shown in figure (Figure 1) ux av m/s Submit My Answers Give Up Part B Find the y component of this runner's average velocity between points A and B m/s Submit My Answers Give Up Part C Find the component of this runner's average acceleration between points A and B Figure 1 #1 of 1 m/s Submit My Answers Give Up Part D Find the y component of this runner's average acceleration between points A and B

Explanation / Answer

coordinates of A = (-d/2 , 0)

coordinates of B = (0 , d/2 )

displacement from A to B

r =

r = (0-(-d/2))i + ((d/2)-0) j

r = (d/2)i + (d/2)j

r = 125 i + 125 j

time taken for 1 complete round T = (2pi*d/2)/v = pi*250/5.4 = 145.44 s

time taken from A to B , t = T/4 = 36.36 s

part A

Vx = rx/t = 125/36.36 = 3.44 m/s

part B

Vy = ry/t = 125/36.36 = 3.44 m/s

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at point A

VAx = 0

VAy = 5.4 m/s

at point B

VBx = 5.4 m/s

VBy = 0

part C

ax = (VBx - VAx)/t = (5.4-0)/36.36 = 0.148 m/s^2

part D

ay = (VBy - BAy) /t

ay = (0 - 5.4)/36.36 = -0.148 m/s^2

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