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2. A boy rides his bike and goes around a circular path thrice before stopping at where he started.

The circular path has a radius of 10 meters and the entire ride took
75 seconds.
a. What is the total distance he traveled?
b. What is his displacement?
c. What is his average speed?
d. What is his average velocity?

User Yasskier
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1 Answer

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Final answer:

The boy traveled a total distance of 20π meters in 75 seconds, but his displacement and average velocity are both zero.

Step-by-step explanation:

a. The total distance the boy traveled is equal to the circumference of the circular path. The formula for the circumference of a circle is 2πr, where r is the radius. Therefore, the total distance traveled is 2π(10) = 20π meters.

b. Displacement refers to the change in position of an object. Since the boy ends up at the same position where he started, his displacement is zero.

c. Average speed is calculated by dividing the total distance traveled by the total time taken. In this case, the total distance is 20π meters and the total time is 75 seconds. Therefore, the average speed is (20π / 75) meters per second.

d. Average velocity takes into account both the magnitude and direction of displacement. Since the boy ends up at the same position where he started, his average displacement is zero. Therefore, his average velocity is also zero.

User Kafo
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