Dart Launcher Context A mini dart launcher is installed on your desk. Calculate the speed at which he will have to shoot the dart so that it just touches the ceiling of the room. Constraints The dart launcher fires at a predetermined angle; You can control the initial speed of the darts; The height of your desk and the ceiling are fixed. Modelization Create a model to calculate the muzzle velocity required for the projectile to just graze the ceiling based on the angle of the shot, the height of your desk, and the height of the ceiling. Then test your model with the following values: The firing angle is 39.2 degrees; The height of your desk is 1.14 m; The height of the ceiling is 2 m;

Dart Launcher Context A mini dart launcher is installed on your desk. Calculate the speed at which he will have to shoot the dart so that it just touches the ceiling of the room. Constraints The dart launcher fires at a predetermined angle; You can control the initial speed of the darts; The height of your desk and the ceiling are fixed. Modelization Create a model to calculate the muzzle velocity required for the projectile to just graze the ceiling based on the angle of the shot, the height of your desk, and the height of the ceiling. Then test your model with the following values: The firing angle is 39.2 degrees; The height of your desk is 1.14 m; The height of the ceiling is 2 m;

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Question

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Dart Launcher
Context

A mini dart launcher is installed on your desk. Calculate the speed at which he will have to shoot the dart so that it just touches the ceiling of the room.

Constraints

The dart launcher fires at a predetermined angle;

You can control the initial speed of the darts;

The height of your desk and the ceiling are fixed.

Modelization

Create a model to calculate the muzzle velocity required for the projectile to just graze the ceiling based on the angle of the shot, the height of your desk, and the height of the ceiling.

Then test your model with the following values:

The firing angle is 39.2 degrees;

The height of your desk is 1.14 m;

The height of the ceiling is 2 m;

Expert Solution