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Sagot :
Answer:
The parabolic shape of the marble once it leaves the desk can be justified by considering the forces involved and the horizontal and vertical components of its velocity. When the marble is launched from the desk, it experiences two main forces: gravity acting downwards and the initial velocity imparted to the marble by the launch.
1. Vertical Component of Velocity: Initially, the marble has a vertical component of velocity that is directed upwards due to the launch. As the marble moves upwards, the force of gravity acts on it, causing it to slow down and eventually reverse direction. This results in the marble following a curved path in the shape of a parabola as it rises and then falls back down towards the ground.
2. Horizontal Component of Velocity: Simultaneously, the marble also has a horizontal component of velocity that determines how far it travels horizontally before hitting the ground. This horizontal velocity remains relatively constant (assuming no air resistance) throughout the marble's flight. The combination of the horizontal velocity and the curved path due to gravity results in the parabolic trajectory of the marble.
In summary, the parabolic shape of the marble's trajectory can be explained by the interplay between the initial vertical velocity, the force of gravity acting vertically, and the constant horizontal velocity. These factors combine to create a curved path that follows the shape of a parabola as the marble moves through the air after leaving the desk.
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