Question

Катер прошел по озеру половину окружности радиусом 45м.Определить пройденный им путь и модуль премещения. Чему равны путь катера и модуль его перемещения, если он пройдет полную окружность.

Answer 1

Длина окружности=2PR
Половина длины окружности 2PR/2
1) 2*3.14*45=28.26(м)-всё озеро
2) 28.26/2=14.13(м) - путь, пройденный катером
Ответ: 28.26 метра, 14.13 метра

Answer 2

Calculation of the Distance Traveled and Displacement of the Boat

To determine the distance traveled and the displacement of the boat, we need to consider the given information that the boat has traveled half the circumference of a circle with a radius of 45 meters.

The formula for calculating the circumference of a circle is given by:

Circumference = 2 * π * radius

Substituting the given radius value of 45 meters into the formula, we can calculate the circumference:

Circumference = 2 * π * 45

Let's calculate the circumference using the value of π as approximately 3.14159:

Circumference = 2 * 3.14159 * 45

Calculating the above expression, we find that the circumference is approximately 282.74334 meters.

Since the boat has traveled half the circumference, we can calculate the distance traveled by dividing the circumference by 2:

Distance Traveled = Circumference / 2

Substituting the calculated value of the circumference, we find:

Distance Traveled = 282.74334 / 2

Calculating the above expression, we find that the distance traveled by the boat is approximately 141.37167 meters.

The displacement of an object refers to the straight-line distance between its initial and final positions. In this case, since the boat has traveled half the circumference of the circle, its initial and final positions are the same. Therefore, the displacement of the boat is zero.

To summarize: - The boat has traveled a distance of approximately 141.37167 meters. - The displacement of the boat is zero.

Now, let's consider the scenario where the boat completes a full circle.

The circumference of the circle remains the same as calculated earlier, which is approximately 282.74334 meters.

Therefore, if the boat completes a full circle, the distance traveled by the boat would be equal to the circumference of the circle:

Distance Traveled = Circumference

Substituting the calculated value of the circumference, we find:

Distance Traveled = 282.74334

Calculating the above expression, we find that the distance traveled by the boat when it completes a full circle is approximately 282.74334 meters.

Since the boat returns to its initial position after completing a full circle, the displacement of the boat is zero.

To summarize: - The boat would travel a distance of approximately 282.74334 meters when it completes a full circle. - The displacement of the boat would be zero.

Please let me know if you need any further clarification or assistance!