Question

A hot air balloon lifts 50 meters vertically into the air and then comes back down. What are the displacement and distance of the balloon’s flight?
The displacement is 100 meters and the distance is zero.
The displacement is 50 meters downward and the distance is 100 meters.
The displacement is zero and the distance is 100 meters
The displacement is 50 meters upward and the distance is 100 meters.

Answer 1

The displacement of the balloon is zero while the distance is 100 m

Displacement if the change in the position of an object. When an object is displaced and it returns to the same position, the displacement is zero.

Displacement is a vector quantity because it has both magnitude and direction.

• Displacement of the balloon = 50 m Upward - 50 m downward = 0

Distance is the measure of the total path traveled by object. When an object is released to certain position and it returns to the same position, the distance is the sum of the path covered by the object. Unlike displacement, distance is a scalar quantity, because it can represented by magnitude only.

• The distance of the balloon = 50 m upward + 50 m downward = 100 m

Thus, the displacement of the balloon is zero while the distance is 100 m

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Answer 2

Given that a hot air balloon lifts 50 meters vertically into the air and then comes back down.

The displacement is the distance covered in a specific direction.

When the balloon is going up, the displacement is positive. and when the balloon is coming down, the displacement is negative.

The total displacement = 50 - 50 = 0

The distance is a measurement of length between to different points or position.

For distance, there is no need to consider direction. There is no consideration for positive or negative signs

While the distance = 50 + 50 = 100 meters

Therefore, the correct answer is C

That is, The displacement is zero and the distance is 100 meters

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