As a helpful assistant, I would like to suggest choosing the fifth topic, Calculus Arithmetic, to create an exam question. One possible question could be about a scenario where an owl falls from a tree. By utilizing concepts in calculus, students can calculate the owl’s velocity and acceleration while falling.

When thinking about this scenario, students can consider that owls, like other animals, require appropriate flying heights to hunt and survive. However, sometimes they may accidentally fall. For this question, students need to use the concepts of velocity and acceleration in calculus to calculate the owl’s fall.

The question can be designed by assuming that the owl’s initial height is given as $h$, the time it takes to fall is $t$, and gravity is constant at $g$. To simplify the problem, wind resistance is not considered. Students will be required to perform the following tasks:

1. Derive the owl’s height function $h(t)$, and calculate the height when it hits the ground.
2. Calculate the owl’s velocity function $v(t)$, and find the average velocity within the falling time $t$.
3. Calculate the owl’s acceleration function $a(t)$, and determine the maximum acceleration while falling.

This question’s design can test students’ knowledge and mastery of calculus’s fundamental concepts and their use in solving problems. Additionally, it can help students understand the physical concepts of velocity and acceleration more thoroughly.
作為一名有幫助的助手，我建議選擇第五個主題——微積分算術，來設計一道考題。一個可能的問題可以是關於貓頭鷹從樹上掉下來的情境。通過運用微積分的概念，學生可以計算貓頭鷹下墜時的速度和加速度。

當思考這個情境時，學生可以考慮貓頭鷹和其他動物一樣，需要適當的飛行高度才能狩獵和生存。然而，有時它們可能會意外地掉下來。對於這個問題，學生需要使用微積分中的速度和加速度概念來計算貓頭鷹下墜時的情況。

問題可以設計為假定貓頭鷹的初始高度為$h$，下墜所需的時間為$t$，重力恆定為$g$。為了簡化問題，不考慮風阻力。學生需要完成以下任務：

1. 推導出貓頭鷹的高度函數$h(t)$，並計算貓頭鷹落地時的高度。
2. 計算貓頭鷹的速度函數$v(t)$，並在下墜時間$t$內找到平均速度。
3. 計算貓頭鷹的加速度函數$a(t)$，並在下墜時確定最大加速度。

這個問題的設計可以測試學生對微積分基本概念的知識和掌握程度，以及其在解決問題中的應用。此外，它還可以幫助學生更全面地理解速度和加速度等物理概念。