2. An outdoor speed-skating track is shaped like an ellipse with the equation shown. A skater travels around the track with a constant speed of 12 m/s. TOP VIEW Y equation of the track x2 y² + (50)² (100) ² X = 1 a. At what two (x,y) coordinates will the acceleration of the skater be a maximum? b. What is the radius of curvature of the track at those two points? c. What is the normal component of acceleration at those two points?

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2. An outdoor speed-skating track is shaped like an ellipse with the equation shown. A skater travels
around the track with a constant speed of 12 m/s.
TOP VIEW
Y
equation of the track
y²
+
(50)² (100) ²
कर
X
=1
a. At what two (x,y) coordinates will the acceleration of the skater be a maximum?
b. What is the radius of curvature of the track at those two points?
c. What is the normal component of acceleration at those two points?
Transcribed Image Text:2. An outdoor speed-skating track is shaped like an ellipse with the equation shown. A skater travels around the track with a constant speed of 12 m/s. TOP VIEW Y equation of the track y² + (50)² (100) ² कर X =1 a. At what two (x,y) coordinates will the acceleration of the skater be a maximum? b. What is the radius of curvature of the track at those two points? c. What is the normal component of acceleration at those two points?
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