Challenge: Solving the Optimisation Problem
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Let's consider a physics-related optimization problem where we need to find the maximum height reached by an object thrown vertically upward with a given initial velocity.
We have the following equation:
h = v * t - 0.5 * g * t**2
that describes the motion of an object.
Our task is to find the time t when the object reaches its maximum height and then find the maximum height h_max.
- Calculate the derivatives of the first and second order for the
hfunction. - Find critical points of
hfunction. - Check if these critical points are points of the maximum of the function
h.
Soluzione
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Swipe to start coding
Let's consider a physics-related optimization problem where we need to find the maximum height reached by an object thrown vertically upward with a given initial velocity.
We have the following equation:
h = v * t - 0.5 * g * t**2
that describes the motion of an object.
Our task is to find the time t when the object reaches its maximum height and then find the maximum height h_max.
- Calculate the derivatives of the first and second order for the
hfunction. - Find critical points of
hfunction. - Check if these critical points are points of the maximum of the function
h.
Soluzione
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