Rocking the Boat - Questions
The Rocking the Boat Concept Builder is comprised of 27 questions. The questions are divided into nine different Question Groups. Questions in the same group are rather similar to one another. The Concept Builder is coded to select at random a question from each group until a student is successful with that group of questions.
There are three different difficulty levels that can be engaged in through the Concept Builder. Those three levels are differentiated as follows:
- Apprentice Difficulty Level: Question Groups 1-2. When one boat is on a crest, the other is on the adjacent trough. Learners determine the values of wavelength, frequency, period, amplitude and speed.
- Master Difficulty Level: Question Groups 3-5. Position of the boat with respect to the crests and troughs of the wave pattern vary from problem to problem. Learners determine the values of wavelength, frequency, period, amplitude and speed.
- Wizard Difficulty Level: Question Groups 6-9. Position of the boat with respect to the crests and troughs of the wave pattern vary from problem to problem. Learners determine the values of wavelength, frequency, period, amplitude and speed.
The questions from each group are shown below. Teachers are encouraged to view the questions in order to judge which difficulty level(s) is/are most appropriate for their classes. We recommend providing students two options.
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Rocking the Boat … with Waves
Apprentice Difficulty Level
Question Group 1
Question 1
Two boats are anchored in the harbor, separated by a horizontal distance of 12 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is at its lowest point and there are no wave crests between them. Each boat makes exactly 2 complete up-and-down cycles every 10.0 s. The vertical distance between a boat's highest and lowest position is 2.4 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question 2
Two boats are anchored in the harbor, separated by a horizontal distance of 16 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is at its lowest point and there are no wave crests between them. Each boat makes exactly 3 complete up-and-down cycles every 12.0 s. The vertical distance between a boat's highest and lowest position is 3.2 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Two boats are anchored in the harbor, separated by a horizontal distance of 24 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is at its lowest point and there are no wave crests between them. Each boat makes exactly 4 complete up-and-down cycles every 12.0 s. The vertical distance between a boat's highest and lowest position is 3.6 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question Group 2
Question 4
Two boats are anchored in the harbor, separated by a horizontal distance of 14 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is at its lowest point and there are no wave crests between them. Each boat makes exactly 5 complete up-and-down cycles every 15.0 s. The vertical distance between a boat's highest and lowest position is 2.4 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question 5
Two boats are anchored in the harbor, separated by a horizontal distance of 18 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is at its lowest point and there are no wave crests between them. Each boat makes exactly 5 complete up-and-down cycles every 10.0 s. The vertical distance between a boat's highest and lowest position is 2.6 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question 6
Two boats are anchored in the harbor, separated by a horizontal distance of 20 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is at its lowest point and there are no wave crests between them. Each boat makes exactly 5 complete up-and-down cycles every 20.0 s. The vertical distance between a boat's highest and lowest position is 2.8 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Master Difficulty Level
Question Group 3
Question 7
Two boats are anchored in the harbor, separated by a horizontal distance of 14 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is at its lowest point and there are no wave crests between them. Each boat makes exactly 5 complete up-and-down cycles every 15.0 s. The vertical distance between a boat's highest and lowest position is 2.4 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question 8
Two boats are anchored in the harbor, separated by a horizontal distance of 18 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is at its lowest point and there are no wave crests between them. Each boat makes exactly 5 complete up-and-down cycles every 10.0 s. The vertical distance between a boat's highest and lowest position is 2.6 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question 9
Two boats are anchored in the harbor, separated by a horizontal distance of 20 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is at its lowest point and there are no wave crests between them. Each boat makes exactly 5 complete up-and-down cycles every 20.0 s. The vertical distance between a boat's highest and lowest position is 2.8 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question Group 4
Question 10
Two boats are anchored in the harbor, separated by a horizontal distance of 12 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is at its lowest point and there is one wave crest between them. Each boat makes exactly 2 complete up-and-down cycles every 12.0 s. The vertical distance between a boat's highest and lowest position is 3.0 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question 11
Two boats are anchored in the harbor, separated by a horizontal distance of 18 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is at its lowest point and there is one wave crest between them. Each boat makes exactly 2 complete up-and-down cycles every 16.0 s. The vertical distance between a boat's highest and lowest position is 3.6 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question 12
Two boats are anchored in the harbor, separated by a horizontal distance of 30 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is at its lowest point and there is one wave crest between them. Each boat makes exactly 3 complete up-and-down cycles every 18.0 s. The vertical distance between a boat's highest and lowest position is 3.8 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question Group 5
Question 13
Two boats are anchored in the harbor, separated by a horizontal distance of 16 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is also at its highest point and there is one wave crest between them. Each boat makes exactly 5 complete up-and-down cycles every 25.0 s. The vertical distance between a boat's highest and lowest position is 2.0 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question 14
Two boats are anchored in the harbor, separated by a horizontal distance of 20 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is also at its highest point and there is one wave crest between them. Each boat makes exactly 5 complete up-and-down cycles every 30.0 s. The vertical distance between a boat's highest and lowest position is 2.2 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question 15
Two boats are anchored in the harbor, separated by a horizontal distance of 24 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is also at its highest point and there is one wave crest between them. Each boat makes exactly 6 complete up-and-down cycles every 36.0 s. The vertical distance between a boat's highest and lowest position is 2.4 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Wizard Difficulty Level
Question Group 6
Question 16
Two boats are anchored in the harbor, separated by a horizontal distance of 12 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is at its lowest point and there is one wave crest between them. Each boat makes exactly 2 complete up-and-down cycles every 12.0 s. The vertical distance between a boat's highest and lowest position is 3.0 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question 17
Two boats are anchored in the harbor, separated by a horizontal distance of 18 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is at its lowest point and there is one wave crest between them. Each boat makes exactly 2 complete up-and-down cycles every 16.0 s. The vertical distance between a boat's highest and lowest position is 3.6 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question 18
Two boats are anchored in the harbor, separated by a horizontal distance of 30 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is at its lowest point and there is one wave crest between them. Each boat makes exactly 3 complete up-and-down cycles every 18.0 s. The vertical distance between a boat's highest and lowest position is 3.8 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question Group 7
Question 19
Two boats are anchored in the harbor, separated by a horizontal distance of 16 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is also at its highest point and there is one wave crest between them. Each boat makes exactly 5 complete up-and-down cycles every 25.0 s. The vertical distance between a boat's highest and lowest position is 2.0 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question 20
Two boats are anchored in the harbor, separated by a horizontal distance of 20 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is also at its highest point and there is one wave crest between them. Each boat makes exactly 5 complete up-and-down cycles every 30.0 s. The vertical distance between a boat's highest and lowest position is 2.2 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question 21
Two boats are anchored in the harbor, separated by a horizontal distance of 24 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is also at its highest point and there is one wave crest between them. Each boat makes exactly 6 complete up-and-down cycles every 36.0 s. The vertical distance between a boat's highest and lowest position is 2.4 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question Group 8
Question 22
Two boats are anchored in the harbor, separated by a horizontal distance of 20 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is at its lowest point and there are two wave crests between them. Each boat makes exactly 4 complete up-and-down cycles every 12.0 s. The vertical distance between a boat's highest and lowest position is 2.6 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question 23
Two boats are anchored in the harbor, separated by a horizontal distance of 30 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is at its lowest point and there are two wave crests between them. Each boat makes exactly 3 complete up-and-down cycles every 12.0 s. The vertical distance between a boat's highest and lowest position is 2.8 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question 24
Two boats are anchored in the harbor, separated by a horizontal distance of 40 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is at its lowest point and there are two wave crests between them. Each boat makes exactly 2 complete up-and-down cycles every 10.0 s. The vertical distance between a boat's highest and lowest position is 3.0 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question Group 9
Question 25
Two boats are anchored in the harbor, separated by a horizontal distance of 18 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is also at its highest point and there are two wave crests between them. Each boat makes exactly 3 complete up-and-down cycles every 15.0 s. The vertical distance between a boat's highest and lowest position is 3.2 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question 26
Two boats are anchored in the harbor, separated by a horizontal distance of 24 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is also at its highest point and there are two wave crests between them. Each boat makes exactly 4 complete up-and-down cycles every 20.0 s. The vertical distance between a boat's highest and lowest position is 3.4 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.
Question 27
Two boats are anchored in the harbor, separated by a horizontal distance of 36 m. The boats bob up and down as waves enter the harbor. When one boat is at its highest point, the other is also at its highest point and there are two wave crests between them. Each boat makes exactly 3 complete up-and-down cycles every 24.0 s. The vertical distance between a boat's highest and lowest position is 3.6 m. Complete the diagram, showing where the second boat is located. Then determine the wavelength (m), frequency (Hz), period (s), amplitude (m), and speed (m/s) of the waves.