Challenge: Solving the Optimisation Problem

Task

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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 h function.
Find critical points of h function.
Check if these critical points are points of the maximum of the function h.

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Section 3. Chapter 5

Challenge: Solving the Optimisation Problem

Task

Swipe to show code editor

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 h function.
Find critical points of h function.
Check if these critical points are points of the maximum of the function h.

Switch to desktop for real-world practiceContinue from where you are using one of the options below

Everything was clear?

Thanks for your feedback!

Section 3. Chapter 5

Challenge: Solving the Optimisation Problem

Task

Swipe to show code editor

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 h function.
Find critical points of h function.
Check if these critical points are points of the maximum of the function h.

Switch to desktop for real-world practiceContinue from where you are using one of the options below

Everything was clear?

Thanks for your feedback!

Task

Swipe to show code editor

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 h function.
Find critical points of h function.
Check if these critical points are points of the maximum of the function h.

Switch to desktop for real-world practiceContinue from where you are using one of the options below

Section 3. Chapter 5

Switch to desktop for real-world practiceContinue from where you are using one of the options below