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
Answer
4.2
(292 Votes)
Albert
Master · Tutor for 5 years
Answer
His speed was
and his velocity was 0.
Explanation
## Step 1: Understand the problemKai 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.## Step 2: Calculate the speedSpeed 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
meters per second.## Step 3: Calculate the velocityVelocity 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.### The formula for speed is:
### The formula for velocity is: