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Advanced Physics
The scope Context A child's toy module rolls a marble through a pipe and then launches it into the air. An exasperated dad looking for the lost marbles all over the house asks you for help in calculating where the marble will fall and the size of the basket he should place there to be sure to catch the ball. Constraints The muzzle velocity and angle of fire depend on the construction the children make; The ball is fired from the ground and will land at ground level; The thickness of the basket itself is neglected. Modelization Create a model to calculate the distance from where the ball is shot to where the center of the basket would need to be to catch it, based on the speed and angle of the shot, as well as the uncertainty on these two parameters. HINT for uncertainty: when the equation contains increasing and decreasing functions (such as sine and cosine, for example), it is necessary to proceed by trial and error to find the maximum and the minimum. A parameter cannot have two different values ​​at the same time. Then test your model by calculating the position of the center of the basket and the width (diameter) of the basket with the following values: The ball's initial velocity is (2.8±0.3)m/s; The firing angle is 30.4 degrees±0.4 degrees;

The scope Context A child's toy module rolls a marble through a pipe and then launches it into the air. An exasperated dad looking for the lost marbles all over the house asks you for help in calculating where the marble will fall and the size of the basket he should place there to be sure to catch the ball. Constraints The muzzle velocity and angle of fire depend on the construction the children make; The ball is fired from the ground and will land at ground level; The thickness of the basket itself is neglected. Modelization Create a model to calculate the distance from where the ball is shot to where the center of the basket would need to be to catch it, based on the speed and angle of the shot, as well as the uncertainty on these two parameters. HINT for uncertainty: when the equation contains increasing and decreasing functions (such as sine and cosine, for example), it is necessary to proceed by trial and error to find the maximum and the minimum. A parameter cannot have two different values ​​at the same time. Then test your model by calculating the position of the center of the basket and the width (diameter) of the basket with the following values: The ball's initial velocity is (2.8±0.3)m/s; The firing angle is 30.4 degrees±0.4 degrees;

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The scope
Context

A child's toy module rolls a marble through a pipe and then launches it into the air. An exasperated dad looking for the lost marbles all over the house asks you for help in calculating where the marble will fall and the size of the basket he should place there to be sure to catch the ball.

Constraints

The muzzle velocity and angle of fire depend on the construction the children make;
The ball is fired from the ground and will land at ground level;
The thickness of the basket itself is neglected.


Modelization

Create a model to calculate the distance from where the ball is shot to where the center of the basket would need to be to catch it, based on the speed and angle of the shot, as well as the uncertainty on these two parameters.

HINT for uncertainty: when the equation contains increasing and decreasing functions (such as sine and cosine, for example), it is necessary to proceed by trial and error to find the maximum and the minimum. A parameter cannot have two different values ​​at the same time.

Then test your model by calculating the position of the center of the basket and the width (diameter) of the basket with the following values:

The ball's initial velocity is (2.8±0.3)m/s;

The firing angle is 30.4 degrees±0.4 degrees;

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