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Lære Challenge: Solving the Optimisation Problem | Mathematical Analysis
Mathematics for Data Analysis and Modeling

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Challenge: Solving the Optimisation Problem

Opgave

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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.

  1. Calculate the derivatives of the first and second order for the h function.
  2. Find critical points of h function.
  3. Check if these critical points are points of the maximum of the function h.

Løsning

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book
Challenge: Solving the Optimisation Problem

Opgave

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.

  1. Calculate the derivatives of the first and second order for the h function.
  2. Find critical points of h function.
  3. Check if these critical points are points of the maximum of the function h.

Løsning

Switch to desktopSkift til skrivebord for at øve i den virkelige verdenFortsæt der, hvor du er, med en af nedenstående muligheder
Var alt klart?

Hvordan kan vi forbedre det?

Tak for dine kommentarer!

close

Awesome!

Completion rate improved to 4.76

Stryg for at vise menuen

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