Distance Formula Word Problems Worksheet

Are you searching for a tool to reinforce your understanding of the distance formula? Look no further! This distance formula word problems worksheet is designed to help you practice applying the formula to real-life scenarios. Whether you are a student studying geometry, a math enthusiast wanting to sharpen your skills, or a teacher in need of additional resources, this worksheet is perfect for you.

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  Force Mass Acceleration

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  Force Mass Acceleration

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  Force Mass Acceleration

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  Force Mass Acceleration

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  Force Mass Acceleration

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  Force Mass Acceleration

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  Force Mass Acceleration

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  Force Mass Acceleration

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  Force Mass Acceleration

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  Force Mass Acceleration

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What is the distance between two points if their coordinates are (3, 4) and (1, -2)?

The distance between the two points with coordinates (3, 4) and (1, -2) is 6 units. This can be calculated using the distance formula: ?((1-3)^2 + (-2-4)^2) = ?((-2)^2 + (-6)^2) = ?(4 + 36) = ?40 = 6.

A student walks 2 miles north, 5 miles east, and 3 miles south. What is the total distance traveled by the student?

The total distance traveled by the student is 10 miles.

A car travels at a speed of 60 miles per hour for 2 hours. How far does the car travel in that time?

The car travels a total distance of 120 miles in 2 hours at a speed of 60 miles per hour.

A plane is flying at an altitude of 35,000 feet. How far is the plane from the ground?

The plane is 35,000 feet above the ground.

A hiker starts at the base of a mountain and climbs 1000 feet vertically. What is the total distance the hiker covers?

The total distance the hiker covers is simply the length of the slope, which is equal to the hypotenuse of a right triangle with one leg measuring 1000 feet (vertical climb) and the other leg measuring the horizontal distance traveled on the ground. This can be calculated using the Pythagorean theorem as follows: \( \sqrt{1000^2 + x^2} = x \), where x is the horizontal distance. Solving for x, the total distance covered by the hiker is approximately 1000 feet, as the horizontal distance traveled on the ground is negligible compared to the vertical climb.

A ship travels 200 miles at a bearing of 30 degrees north of east. How far north and how far east does the ship travel?

To find how far north and east the ship travels, you can use trigonometry. The ship travels 200 miles at a bearing of 30 degrees north of east; therefore, the eastward distance traveled can be calculated as 200 * cos(30 degrees) ? 173.2 miles, and the northward distance traveled can be calculated as 200 * sin(30 degrees) ? 100 miles. So, the ship travels approximately 100 miles north and 173.2 miles east.

A cyclist starts at point A and rides 5 miles to point B. Then the cyclist turns around and rides 3 miles back to point A. What is the total distance covered by the cyclist?

The total distance covered by the cyclist is 8 miles.

A jogger runs around a circular track with a radius of 100 meters. What is the distance covered by the jogger in one lap?

The distance covered by the jogger in one lap around the circular track with a radius of 100 meters is the circumference of the circle, which can be calculated using the formula C = 2?r, where r is the radius. Substituting the radius of 100 meters into the formula gives C = 2 x ? x 100 = 200? meters, or approximately 628.32 meters. Therefore, the jogger covers a distance of around 628.32 meters in one lap around the track.

A person travels 30 miles south, then 40 miles east, and finally 20 miles north. What is the total distance traveled?

The total distance traveled is 90 miles.

A bird flies at a speed of 20 miles per hour for 3 hours. How far does the bird fly in that time?

The bird flies at 20 miles per hour for 3 hours, covering a total distance of 60 miles (20 miles/hour x 3 hours = 60 miles).