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Kai was 200 meters north of the library when he remembered he had to return some books to the library.It took him 200 seconds to do the round trip Which best describes Kais roundtrip? His speed was 1m/s and his velocity was His speed was 2m/s, and his velocity was His speed was 1m/s and his velocity was 1m/s north His speed was 2m/s, and his velocity was 2m/s south

Question

Kai was 200 meters north of the library when he remembered he had to return some books to the library.It took him
200 seconds to do the round trip
Which best describes Kais roundtrip?
His speed was 1m/s and his velocity was
His speed was 2m/s, and his velocity was
His speed was 1m/s and his velocity was 1m/s north
His speed was 2m/s, and his velocity was 2m/s south

Kai was 200 meters north of the library when he remembered he had to return some books to the library.It took him 200 seconds to do the round trip Which best describes Kais roundtrip? His speed was 1m/s and his velocity was His speed was 2m/s, and his velocity was His speed was 1m/s and his velocity was 1m/s north His speed was 2m/s, and his velocity was 2m/s south

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AlbertMaster · Tutor for 5 years

Answer

His speed was \(2m/s\) and his velocity was 0.

Explain

## Step 1: Understand the problem<br />Kai was 200 meters north of the library and he had to return some books to the library. This means he had to travel 200 meters south to the library and then 200 meters north back to his original position. The total distance he traveled was 200 meters to the library and 200 meters back, totaling 400 meters. This round trip took him 200 seconds.<br /><br />## Step 2: Calculate the speed<br />Speed is calculated by dividing the total distance traveled by the total time taken. In this case, Kai traveled a total distance of 400 meters in 200 seconds. So, his speed would be \(\frac{400}{200} = 2 \) meters per second.<br /><br />## Step 3: Calculate the velocity<br />Velocity is a vector quantity that refers to "the rate at which an object changes its position." In this case, even though Kai traveled a total distance of 400 meters, his displacement (change in position) is 0, because he ended up at the same place he started. Therefore, his velocity is 0.<br /><br />### The formula for speed is: \(\boldsymbol{Speed = \frac{Total Distance}{Total Time}}\)<br />### The formula for velocity is: \(\boldsymbol{Velocity = \frac{Displacement}{Total Time}}\)
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