Question

Мячик упал с высоты 4м отскочил от земли и был пойман на высоте 50см. Чему равен пройденный путь и  перемещения мяча?

Answer 1

Calculation of the Distance Traveled and Displacement of the Ball

To calculate the distance traveled and displacement of the ball, we need to consider the initial height from which the ball was dropped, the height at which it was caught, and the path it took.

Given: - The ball was dropped from a height of 4 meters. - It rebounded from the ground and was caught at a height of 50 centimeters (0.5 meters).

To calculate the distance traveled by the ball, we need to consider the total vertical distance covered by the ball during its motion. This includes the distance it traveled when it fell from the initial height, the distance it traveled when it rebounded, and the distance it traveled when it was caught.

The distance traveled by the ball can be calculated as the sum of the distances traveled during each phase: 1. Distance traveled when the ball fell from the initial height of 4 meters to the ground: 4 meters. 2. Distance traveled when the ball rebounded from the ground: This distance is equal to the initial height from which the ball was dropped, which is 4 meters. 3. Distance traveled when the ball was caught from the ground to a height of 50 centimeters (0.5 meters): 0.5 meters.

Therefore, the total distance traveled by the ball is: 4 meters + 4 meters + 0.5 meters = 8.5 meters.

Now, let's calculate the displacement of the ball. Displacement refers to the straight-line distance between the initial and final positions of an object.

In this case, the displacement of the ball can be calculated as the difference between the initial height from which the ball was dropped and the height at which it was caught.

Displacement = Final position - Initial position Displacement = 0.5 meters - 4 meters = -3.5 meters.

The negative sign indicates that the ball was caught at a lower height than the initial height from which it was dropped.

To summarize: - The distance traveled by the ball is 8.5 meters. - The displacement of the ball is -3.5 meters.

Please let me know if there is anything else I can help you with!