ScienceAges 16-18

Echo sounding & pulse-echo distance

Use pulse-echo reflection d = (v × t) ÷ 2 to determine seabed depth or flaw distance from round-trip travel time. Review suitability for your learners before teaching.

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Age band:Ages 13-15 Ages 16-18

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Worksheet StudioPractice pack · Ages 16-18

Echo sounding & pulse-echo distance

Take your time. Show your thinking.

1. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 23 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 340 m/s · Echo t = 23 s · Pulse-Echo Distance: d = (v × t) ÷ 2
2. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 12 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 340 m/s · Echo t = 12 s · Pulse-Echo Distance: d = (v × t) ÷ 2
3. An echo-sounding pulse travels through a medium at v = 1520 m/s and returns to the detector 5 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1520 m/s · Echo t = 5 s · Pulse-Echo Distance: d = (v × t) ÷ 2
4. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 21 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 340 m/s · Echo t = 21 s · Pulse-Echo Distance: d = (v × t) ÷ 2
5. An echo-sounding pulse travels through a medium at v = 1600 m/s and returns to the detector 20 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1600 m/s · Echo t = 20 s · Pulse-Echo Distance: d = (v × t) ÷ 2
6. An echo-sounding pulse travels through a medium at v = 5000 m/s and returns to the detector 13 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 5000 m/s · Echo t = 13 s · Pulse-Echo Distance: d = (v × t) ÷ 2
7. An echo-sounding pulse travels through a medium at v = 1400 m/s and returns to the detector 14 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1400 m/s · Echo t = 14 s · Pulse-Echo Distance: d = (v × t) ÷ 2
8. An echo-sounding pulse travels through a medium at v = 1500 m/s and returns to the detector 13 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1500 m/s · Echo t = 13 s · Pulse-Echo Distance: d = (v × t) ÷ 2
9. An echo-sounding pulse travels through a medium at v = 1400 m/s and returns to the detector 18 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1400 m/s · Echo t = 18 s · Pulse-Echo Distance: d = (v × t) ÷ 2
10. An echo-sounding pulse travels through a medium at v = 1600 m/s and returns to the detector 9 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1600 m/s · Echo t = 9 s · Pulse-Echo Distance: d = (v × t) ÷ 2
11. An echo-sounding pulse travels through a medium at v = 1520 m/s and returns to the detector 10 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1520 m/s · Echo t = 10 s · Pulse-Echo Distance: d = (v × t) ÷ 2
12. An echo-sounding pulse travels through a medium at v = 1520 m/s and returns to the detector 11 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1520 m/s · Echo t = 11 s · Pulse-Echo Distance: d = (v × t) ÷ 2

12 questions · Seed 44 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 16-18

Echo sounding & pulse-echo distance

Answers and reasoning. Review before teaching.

1. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 23 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
3910 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (340 m/s × 23 s) ÷ 2 = 3910 m.
2. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 12 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
2040 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (340 m/s × 12 s) ÷ 2 = 2040 m.
3. An echo-sounding pulse travels through a medium at v = 1520 m/s and returns to the detector 5 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
3800 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1520 m/s × 5 s) ÷ 2 = 3800 m.
4. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 21 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
3570 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (340 m/s × 21 s) ÷ 2 = 3570 m.
5. An echo-sounding pulse travels through a medium at v = 1600 m/s and returns to the detector 20 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
16000 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1600 m/s × 20 s) ÷ 2 = 16000 m.
6. An echo-sounding pulse travels through a medium at v = 5000 m/s and returns to the detector 13 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
32500 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (5000 m/s × 13 s) ÷ 2 = 32500 m.
7. An echo-sounding pulse travels through a medium at v = 1400 m/s and returns to the detector 14 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
9800 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1400 m/s × 14 s) ÷ 2 = 9800 m.
8. An echo-sounding pulse travels through a medium at v = 1500 m/s and returns to the detector 13 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
9750 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1500 m/s × 13 s) ÷ 2 = 9750 m.
9. An echo-sounding pulse travels through a medium at v = 1400 m/s and returns to the detector 18 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
12600 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1400 m/s × 18 s) ÷ 2 = 12600 m.
10. An echo-sounding pulse travels through a medium at v = 1600 m/s and returns to the detector 9 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
7200 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1600 m/s × 9 s) ÷ 2 = 7200 m.
11. An echo-sounding pulse travels through a medium at v = 1520 m/s and returns to the detector 10 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
7600 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1520 m/s × 10 s) ÷ 2 = 7600 m.
12. An echo-sounding pulse travels through a medium at v = 1520 m/s and returns to the detector 11 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
8360 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1520 m/s × 11 s) ÷ 2 = 8360 m.

12 questions · Seed 44 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 16-18

Echo sounding & pulse-echo distance

Take your time. Show your thinking.

1. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 23 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 340 m/s · Echo t = 23 s · Pulse-Echo Distance: d = (v × t) ÷ 2
2. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 12 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 340 m/s · Echo t = 12 s · Pulse-Echo Distance: d = (v × t) ÷ 2
3. An echo-sounding pulse travels through a medium at v = 1520 m/s and returns to the detector 5 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1520 m/s · Echo t = 5 s · Pulse-Echo Distance: d = (v × t) ÷ 2
4. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 21 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 340 m/s · Echo t = 21 s · Pulse-Echo Distance: d = (v × t) ÷ 2
5. An echo-sounding pulse travels through a medium at v = 1600 m/s and returns to the detector 20 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1600 m/s · Echo t = 20 s · Pulse-Echo Distance: d = (v × t) ÷ 2
6. An echo-sounding pulse travels through a medium at v = 5000 m/s and returns to the detector 13 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 5000 m/s · Echo t = 13 s · Pulse-Echo Distance: d = (v × t) ÷ 2
7. An echo-sounding pulse travels through a medium at v = 1400 m/s and returns to the detector 14 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1400 m/s · Echo t = 14 s · Pulse-Echo Distance: d = (v × t) ÷ 2
8. An echo-sounding pulse travels through a medium at v = 1500 m/s and returns to the detector 13 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1500 m/s · Echo t = 13 s · Pulse-Echo Distance: d = (v × t) ÷ 2
9. An echo-sounding pulse travels through a medium at v = 1400 m/s and returns to the detector 18 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1400 m/s · Echo t = 18 s · Pulse-Echo Distance: d = (v × t) ÷ 2
10. An echo-sounding pulse travels through a medium at v = 1600 m/s and returns to the detector 9 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1600 m/s · Echo t = 9 s · Pulse-Echo Distance: d = (v × t) ÷ 2
11. An echo-sounding pulse travels through a medium at v = 1520 m/s and returns to the detector 10 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1520 m/s · Echo t = 10 s · Pulse-Echo Distance: d = (v × t) ÷ 2
12. An echo-sounding pulse travels through a medium at v = 1520 m/s and returns to the detector 11 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1520 m/s · Echo t = 11 s · Pulse-Echo Distance: d = (v × t) ÷ 2

12 questions · Seed 44 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 16-18

Echo sounding & pulse-echo distance

Answers and reasoning. Review before teaching.

1. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 23 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
3910 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (340 m/s × 23 s) ÷ 2 = 3910 m.
2. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 12 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
2040 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (340 m/s × 12 s) ÷ 2 = 2040 m.
3. An echo-sounding pulse travels through a medium at v = 1520 m/s and returns to the detector 5 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
3800 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1520 m/s × 5 s) ÷ 2 = 3800 m.
4. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 21 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
3570 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (340 m/s × 21 s) ÷ 2 = 3570 m.
5. An echo-sounding pulse travels through a medium at v = 1600 m/s and returns to the detector 20 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
16000 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1600 m/s × 20 s) ÷ 2 = 16000 m.
6. An echo-sounding pulse travels through a medium at v = 5000 m/s and returns to the detector 13 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
32500 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (5000 m/s × 13 s) ÷ 2 = 32500 m.
7. An echo-sounding pulse travels through a medium at v = 1400 m/s and returns to the detector 14 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
9800 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1400 m/s × 14 s) ÷ 2 = 9800 m.
8. An echo-sounding pulse travels through a medium at v = 1500 m/s and returns to the detector 13 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
9750 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1500 m/s × 13 s) ÷ 2 = 9750 m.
9. An echo-sounding pulse travels through a medium at v = 1400 m/s and returns to the detector 18 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
12600 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1400 m/s × 18 s) ÷ 2 = 12600 m.
10. An echo-sounding pulse travels through a medium at v = 1600 m/s and returns to the detector 9 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
7200 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1600 m/s × 9 s) ÷ 2 = 7200 m.
11. An echo-sounding pulse travels through a medium at v = 1520 m/s and returns to the detector 10 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
7600 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1520 m/s × 10 s) ÷ 2 = 7600 m.
12. An echo-sounding pulse travels through a medium at v = 1520 m/s and returns to the detector 11 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
8360 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1520 m/s × 11 s) ÷ 2 = 8360 m.

12 questions · Seed 44 · Age guidance, not curriculum certification