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A ship sails north for 2 hours, traveling a total of 15 miles. Then the ship turns south and travels 6 miles in an hour.

If north is taken as the positive direction, what is the velocity of the ship?


7 miles per hour ,

3 miles per hour ,

–3 miles per hour ,

–7 miles per hour

2 Answers

2 votes

Answer: 3mph

Step-by-step explanation:

User IStar
by
4.4k points
8 votes

Answer:

3 miles per hour

Step-by-step explanation:

Displacement is the overall change in distance or position of an object. It is the shortest distance from the starting point to the ending point. Displacement is a vector quantity.

Velocity is the time rate of change in displacement, it is the ratio of the total displacement to the total time taken. It is given by the formula:

Velocity = displacement / time

The ship sails north for 2 hours, traveling a total of 15 miles. Then the ship turns south and travels 6 miles in an hour.

The total displacement = shortest distance from initial to final point = 15 miles - 6 miles = 9 miles

Total time = (2 hours) + (1 hour) = 3 hours

Velocity = displacement / time = 9 miles / 3 hours = 3 miles per hour

User Bartosz Blimke
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4.5k points