ScienceAges 13-15

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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Worksheet StudioPractice pack · Ages 13-15

Echo sounding & pulse-echo distance

Take your time. Show your thinking.

1. An echo-sounding pulse travels through a medium at v = 1520 m/s and returns to the detector 6 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1520 m/s · Echo t = 6 s · Pulse-Echo Distance: d = (v × t) ÷ 2
2. An echo-sounding pulse travels through a medium at v = 1500 m/s and returns to the detector 6 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1500 m/s · Echo t = 6 s · Pulse-Echo Distance: d = (v × t) ÷ 2
3. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 7 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 340 m/s · Echo t = 7 s · Pulse-Echo Distance: d = (v × t) ÷ 2
4. An echo-sounding pulse travels through a medium at v = 1520 m/s and returns to the detector 19 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1520 m/s · Echo t = 19 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 16 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1600 m/s · Echo t = 16 s · Pulse-Echo Distance: d = (v × t) ÷ 2
6. An echo-sounding pulse travels through a medium at v = 1600 m/s and returns to the detector 15 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1600 m/s · Echo t = 15 s · Pulse-Echo Distance: d = (v × t) ÷ 2
7. An echo-sounding pulse travels through a medium at v = 1500 m/s and returns to the detector 16 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1500 m/s · Echo t = 16 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 22 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1500 m/s · Echo t = 22 s · Pulse-Echo Distance: d = (v × t) ÷ 2
9. An echo-sounding pulse travels through a medium at v = 5000 m/s and returns to the detector 3 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 5000 m/s · Echo t = 3 s · Pulse-Echo Distance: d = (v × t) ÷ 2
10. An echo-sounding pulse travels through a medium at v = 5000 m/s and returns to the detector 24 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 5000 m/s · Echo t = 24 s · Pulse-Echo Distance: d = (v × t) ÷ 2
11. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 8 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 340 m/s · Echo t = 8 s · Pulse-Echo Distance: d = (v × t) ÷ 2
12. An echo-sounding pulse travels through a medium at v = 5000 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 = 5000 m/s · Echo t = 5 s · Pulse-Echo Distance: d = (v × t) ÷ 2

12 questions · Seed 104729 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 13-15

Echo sounding & pulse-echo distance

Answers and reasoning. Review before teaching.

1. An echo-sounding pulse travels through a medium at v = 1520 m/s and returns to the detector 6 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
4560 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1520 m/s × 6 s) ÷ 2 = 4560 m.
2. An echo-sounding pulse travels through a medium at v = 1500 m/s and returns to the detector 6 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
4500 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1500 m/s × 6 s) ÷ 2 = 4500 m.
3. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 7 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
1190 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (340 m/s × 7 s) ÷ 2 = 1190 m.
4. An echo-sounding pulse travels through a medium at v = 1520 m/s and returns to the detector 19 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
14440 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1520 m/s × 19 s) ÷ 2 = 14440 m.
5. An echo-sounding pulse travels through a medium at v = 1600 m/s and returns to the detector 16 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
12800 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1600 m/s × 16 s) ÷ 2 = 12800 m.
6. An echo-sounding pulse travels through a medium at v = 1600 m/s and returns to the detector 15 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
12000 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1600 m/s × 15 s) ÷ 2 = 12000 m.
7. An echo-sounding pulse travels through a medium at v = 1500 m/s and returns to the detector 16 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
12000 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1500 m/s × 16 s) ÷ 2 = 12000 m.
8. An echo-sounding pulse travels through a medium at v = 1500 m/s and returns to the detector 22 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
16500 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1500 m/s × 22 s) ÷ 2 = 16500 m.
9. An echo-sounding pulse travels through a medium at v = 5000 m/s and returns to the detector 3 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
7500 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (5000 m/s × 3 s) ÷ 2 = 7500 m.
10. An echo-sounding pulse travels through a medium at v = 5000 m/s and returns to the detector 24 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
60000 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (5000 m/s × 24 s) ÷ 2 = 60000 m.
11. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 8 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
1360 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (340 m/s × 8 s) ÷ 2 = 1360 m.
12. An echo-sounding pulse travels through a medium at v = 5000 m/s and returns to the detector 5 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
12500 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (5000 m/s × 5 s) ÷ 2 = 12500 m.

12 questions · Seed 104729 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 13-15

Echo sounding & pulse-echo distance

Take your time. Show your thinking.

1. An echo-sounding pulse travels through a medium at v = 1520 m/s and returns to the detector 6 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1520 m/s · Echo t = 6 s · Pulse-Echo Distance: d = (v × t) ÷ 2
2. An echo-sounding pulse travels through a medium at v = 1500 m/s and returns to the detector 6 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1500 m/s · Echo t = 6 s · Pulse-Echo Distance: d = (v × t) ÷ 2
3. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 7 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 340 m/s · Echo t = 7 s · Pulse-Echo Distance: d = (v × t) ÷ 2
4. An echo-sounding pulse travels through a medium at v = 1520 m/s and returns to the detector 19 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1520 m/s · Echo t = 19 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 16 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1600 m/s · Echo t = 16 s · Pulse-Echo Distance: d = (v × t) ÷ 2
6. An echo-sounding pulse travels through a medium at v = 1600 m/s and returns to the detector 15 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1600 m/s · Echo t = 15 s · Pulse-Echo Distance: d = (v × t) ÷ 2
7. An echo-sounding pulse travels through a medium at v = 1500 m/s and returns to the detector 16 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1500 m/s · Echo t = 16 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 22 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1500 m/s · Echo t = 22 s · Pulse-Echo Distance: d = (v × t) ÷ 2
9. An echo-sounding pulse travels through a medium at v = 5000 m/s and returns to the detector 3 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 5000 m/s · Echo t = 3 s · Pulse-Echo Distance: d = (v × t) ÷ 2
10. An echo-sounding pulse travels through a medium at v = 5000 m/s and returns to the detector 24 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 5000 m/s · Echo t = 24 s · Pulse-Echo Distance: d = (v × t) ÷ 2
11. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 8 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 340 m/s · Echo t = 8 s · Pulse-Echo Distance: d = (v × t) ÷ 2
12. An echo-sounding pulse travels through a medium at v = 5000 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 = 5000 m/s · Echo t = 5 s · Pulse-Echo Distance: d = (v × t) ÷ 2

12 questions · Seed 104729 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 13-15

Echo sounding & pulse-echo distance

Answers and reasoning. Review before teaching.

1. An echo-sounding pulse travels through a medium at v = 1520 m/s and returns to the detector 6 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
4560 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1520 m/s × 6 s) ÷ 2 = 4560 m.
2. An echo-sounding pulse travels through a medium at v = 1500 m/s and returns to the detector 6 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
4500 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1500 m/s × 6 s) ÷ 2 = 4500 m.
3. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 7 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
1190 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (340 m/s × 7 s) ÷ 2 = 1190 m.
4. An echo-sounding pulse travels through a medium at v = 1520 m/s and returns to the detector 19 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
14440 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1520 m/s × 19 s) ÷ 2 = 14440 m.
5. An echo-sounding pulse travels through a medium at v = 1600 m/s and returns to the detector 16 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
12800 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1600 m/s × 16 s) ÷ 2 = 12800 m.
6. An echo-sounding pulse travels through a medium at v = 1600 m/s and returns to the detector 15 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
12000 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1600 m/s × 15 s) ÷ 2 = 12000 m.
7. An echo-sounding pulse travels through a medium at v = 1500 m/s and returns to the detector 16 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
12000 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1500 m/s × 16 s) ÷ 2 = 12000 m.
8. An echo-sounding pulse travels through a medium at v = 1500 m/s and returns to the detector 22 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
16500 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1500 m/s × 22 s) ÷ 2 = 16500 m.
9. An echo-sounding pulse travels through a medium at v = 5000 m/s and returns to the detector 3 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
7500 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (5000 m/s × 3 s) ÷ 2 = 7500 m.
10. An echo-sounding pulse travels through a medium at v = 5000 m/s and returns to the detector 24 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
60000 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (5000 m/s × 24 s) ÷ 2 = 60000 m.
11. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 8 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
1360 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (340 m/s × 8 s) ÷ 2 = 1360 m.
12. An echo-sounding pulse travels through a medium at v = 5000 m/s and returns to the detector 5 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
12500 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (5000 m/s × 5 s) ÷ 2 = 12500 m.

12 questions · Seed 104729 · Age guidance, not curriculum certification