| Difficulty | Secondary School | High school/other |
| ★ | Basic | Easy |
| ★★ | Demanding | Basic |
| ★★★ | Demanding | |
| ★★★★ | Difficult | |
| ★★★★★ | Very difficult |
Specify the velocity of the bandy ball.
Answer: $32\ m/s\ \left(\approx115\ km/h\right)$
Exercise 3.5 C
| Difficulty | Secondary School | High school/other |
| ★ | Basic | Easy |
| ★★ | Demanding | Basic |
| ★★★ | Demanding | |
| ★★★★ | Difficult | |
| ★★★★★ | Very difficult |
Specify the velocity of the tennis ball.
Answer: $39\ m/s\ \left(\approx140\ km/h\right)$
Exercise 3.5 D
| Difficulty | Secondary School | High school/other |
| ★ | Basic | Easy |
| ★★ | Demanding | Basic |
| ★★★ | Demanding | |
| ★★★★ | Difficult | |
| ★★★★★ | Very difficult |
Specify the velocity of the frisbee.
Answer: $17\ m/s\ \left(\approx59\ km/h\right)$
Exercise 3.5 E
| Difficulty | Secondary School | High school/other |
| ★ | Basic | Easy |
| ★★ | Demanding | Basic |
| ★★★ | Demanding | |
| ★★★★ | Difficult | |
| ★★★★★ | Very difficult |
Determine velocity of the bubble.
Tip: Measure the time spent by the bubble at certain distances and move the values to the (t, s) coordinate system. Fit a straight line to the points. What can you expect from the slope of the line?
Answer: $0{,}07\ m/s$
Exercise 3.5 F
| Difficulty | Secondary School | High school/other |
| ★ | Basic | Easy |
| ★★ | Demanding | Basic |
| ★★★ | Demanding | |
| ★★★★ | Difficult | |
| ★★★★★ | Very difficult |
Find out at what angle the speed of a bubble is the greatest? Show the results graphically.
Tip: Place the observation values for each angle in the (t, s) -coordinate system.
Answer: 45°
Exercise 3.6 A
| Difficulty | Secondary School | High school/other |
| ★ | Basic | Easy |
| ★★ | Demanding | Basic |
| ★★★ | Demanding | |
| ★★★★ | Difficult | |
| ★★★★★ | Very difficult |
Determine the acceleration in free fall.
Tip: Measure the time spent by the bubble at certain distances and move the values to the $(t^2,s)$ coordinate system. Fit a straight line to the points. What can you expect from the slope of the line?
Answer: $10\ m/s^2$
Exercise 3.6 B
| Difficulty | Secondary School | High school/other |
| ★ | Basic | Easy |
| ★★ | Demanding | Basic |
| ★★★ | Demanding | |
| ★★★★ | Difficult | |
| ★★★★★ | Very difficult |
Determine the acceleration of the rolling body.
Tip: Show the motion of the body in the $(t^2{,}s)$ -coordinate system and fit a straight line to the points. What can be deduced from the slope?
Answer: $0{,}39\ \frac{m}{s^2}$
Exercise 3.6 C
| Difficulty | Secondary School | High school/other |
| ★ | Basic | Easy |
| ★★ | Demanding | Basic |
| ★★★ | Demanding | |
| ★★★★ | Difficult | |
| ★★★★★ | Very difficult |
Determine the acceleration of the rolling body.
Tip: Show the motion of the body in the $(t^2{,}s)$ -coordinate system and fit a straight line to the points. What can be deduced from the slope?
Answer: $0{,}49\ \frac{m}{s^2}$
Exercise 3.7 A
| Difficulty | Secondary School | High school/other |
| ★ | Basic | Easy |
| ★★ | Demanding | Basic |
| ★★★ | Demanding | |
| ★★★★ | Difficult | |
| ★★★★★ | Very difficult |
In what direction is the elevator going? Also specify the maximum acceleration of the elevator at the beginning and in the end.
Answer: The elevator's maximum acceleration is at the beginning $0,39\ m/s^2$ and in the end $-0,47\ m/s^2$
Exercise 3.7 B
| Difficulty | Secondary School | High school/other |
| ★ | Basic | Easy |
| ★★ | Demanding | Basic |
| ★★★ | Demanding | |
| ★★★★ | Difficult | |
| ★★★★★ | Very difficult |
In what direction is the elevator going? Also specify the maximum acceleration of the elevator at the beginning and in the end.
Answer: The elevator's maximum acceleration is at the beginning $0{,}39\ m/s^2$ and in the end $-0{,}39\ m/s^2$