Water balloon Context You want to drop a water balloon from the top of a window on the head of your physics teacher, who is walking innocently. Determine at what horizontal distance from the point of impact the professor must be when releasing the ball so that it falls directly on his head. Constraints your teacher walks at a constant speed; you drop the ball without throwing it; imagine that we draw an "X" on the ground where the balloon would fall, we seek the distance between the teacher and the "X" when the balloon is released; the balloon should fall on the professor's head, not on his feet. Modelization Build a model to determine the distance between the professor and the point of impact when you should drop the balloon so that it lands directly on his head, depending on the height of the window from which the balloon is dropped, the height of your teacher and the speed at which he walks. Then test your model with the following values: Window Height: 6.2 meters; Professor walking speed: 1.64 m/s; Teacher height: 1.67 meters.
Water balloon
Context
You want to drop a water balloon from the top of a window on the head of your physics teacher, who is walking innocently. Determine at what horizontal distance from the point of impact the professor must be when releasing the ball so that it falls directly on his head.
Constraints
your teacher walks at a constant speed;
you drop the ball without throwing it;
imagine that we draw an "X" on the ground where the balloon would fall, we seek the distance between the teacher and the "X" when the balloon is released;
the balloon should fall on the professor's head, not on his feet.
Modelization
Build a model to determine the distance between the professor and the point of impact when you should drop the balloon so that it lands directly on his head, depending on the height of the window from which the balloon is dropped, the height of your teacher and the speed at which he walks.
Then test your model with the following values:
Window Height: 6.2 meters;
Professor walking speed: 1.64 m/s;
Teacher height: 1.67 meters.
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