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 = 1600 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 = 1600 m/s · Echo t = 22 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 11 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 340 m/s · Echo t = 11 s · Pulse-Echo Distance: d = (v × t) ÷ 2
3. An echo-sounding pulse travels through a medium at v = 1400 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 = 1400 m/s · Echo t = 21 s · Pulse-Echo Distance: d = (v × t) ÷ 2
4. An echo-sounding pulse travels through a medium at v = 1400 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 = 1400 m/s · Echo t = 16 s · Pulse-Echo Distance: d = (v × t) ÷ 2
5. An echo-sounding pulse travels through a medium at v = 1450 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 = 1450 m/s · Echo t = 7 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 6 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 5000 m/s · Echo t = 6 s · Pulse-Echo Distance: d = (v × t) ÷ 2
7. An echo-sounding pulse travels through a medium at v = 1520 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 = 1520 m/s · Echo t = 16 s · Pulse-Echo Distance: d = (v × t) ÷ 2
8. An echo-sounding pulse travels through a medium at v = 340 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 = 340 m/s · Echo t = 9 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 3 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1400 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 23 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 5000 m/s · Echo t = 23 s · Pulse-Echo Distance: d = (v × t) ÷ 2
11. An echo-sounding pulse travels through a medium at v = 1500 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 = 1500 m/s · Echo t = 11 s · Pulse-Echo Distance: d = (v × t) ÷ 2
12. An echo-sounding pulse travels through a medium at v = 1600 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 = 1600 m/s · Echo t = 18 s · Pulse-Echo Distance: d = (v × t) ÷ 2

12 questions · Seed 43 · 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 = 1600 m/s and returns to the detector 22 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
17600 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1600 m/s × 22 s) ÷ 2 = 17600 m.
2. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 11 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
1870 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (340 m/s × 11 s) ÷ 2 = 1870 m.
3. An echo-sounding pulse travels through a medium at v = 1400 m/s and returns to the detector 21 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
14700 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1400 m/s × 21 s) ÷ 2 = 14700 m.
4. An echo-sounding pulse travels through a medium at v = 1400 m/s and returns to the detector 16 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
11200 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1400 m/s × 16 s) ÷ 2 = 11200 m.
5. An echo-sounding pulse travels through a medium at v = 1450 m/s and returns to the detector 7 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
5075 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1450 m/s × 7 s) ÷ 2 = 5075 m.
6. An echo-sounding pulse travels through a medium at v = 5000 m/s and returns to the detector 6 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
15000 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (5000 m/s × 6 s) ÷ 2 = 15000 m.
7. An echo-sounding pulse travels through a medium at v = 1520 m/s and returns to the detector 16 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
12160 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1520 m/s × 16 s) ÷ 2 = 12160 m.
8. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 9 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
1530 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (340 m/s × 9 s) ÷ 2 = 1530 m.
9. An echo-sounding pulse travels through a medium at v = 1400 m/s and returns to the detector 3 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
2100 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1400 m/s × 3 s) ÷ 2 = 2100 m.
10. An echo-sounding pulse travels through a medium at v = 5000 m/s and returns to the detector 23 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
57500 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (5000 m/s × 23 s) ÷ 2 = 57500 m.
11. An echo-sounding pulse travels through a medium at v = 1500 m/s and returns to the detector 11 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
8250 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1500 m/s × 11 s) ÷ 2 = 8250 m.
12. An echo-sounding pulse travels through a medium at v = 1600 m/s and returns to the detector 18 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
14400 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1600 m/s × 18 s) ÷ 2 = 14400 m.

12 questions · Seed 43 · 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 = 1600 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 = 1600 m/s · Echo t = 22 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 11 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 340 m/s · Echo t = 11 s · Pulse-Echo Distance: d = (v × t) ÷ 2
3. An echo-sounding pulse travels through a medium at v = 1400 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 = 1400 m/s · Echo t = 21 s · Pulse-Echo Distance: d = (v × t) ÷ 2
4. An echo-sounding pulse travels through a medium at v = 1400 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 = 1400 m/s · Echo t = 16 s · Pulse-Echo Distance: d = (v × t) ÷ 2
5. An echo-sounding pulse travels through a medium at v = 1450 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 = 1450 m/s · Echo t = 7 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 6 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 5000 m/s · Echo t = 6 s · Pulse-Echo Distance: d = (v × t) ÷ 2
7. An echo-sounding pulse travels through a medium at v = 1520 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 = 1520 m/s · Echo t = 16 s · Pulse-Echo Distance: d = (v × t) ÷ 2
8. An echo-sounding pulse travels through a medium at v = 340 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 = 340 m/s · Echo t = 9 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 3 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 1400 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 23 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
Pulse Speed v = 5000 m/s · Echo t = 23 s · Pulse-Echo Distance: d = (v × t) ÷ 2
11. An echo-sounding pulse travels through a medium at v = 1500 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 = 1500 m/s · Echo t = 11 s · Pulse-Echo Distance: d = (v × t) ÷ 2
12. An echo-sounding pulse travels through a medium at v = 1600 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 = 1600 m/s · Echo t = 18 s · Pulse-Echo Distance: d = (v × t) ÷ 2

12 questions · Seed 43 · 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 = 1600 m/s and returns to the detector 22 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
17600 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1600 m/s × 22 s) ÷ 2 = 17600 m.
2. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 11 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
1870 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (340 m/s × 11 s) ÷ 2 = 1870 m.
3. An echo-sounding pulse travels through a medium at v = 1400 m/s and returns to the detector 21 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
14700 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1400 m/s × 21 s) ÷ 2 = 14700 m.
4. An echo-sounding pulse travels through a medium at v = 1400 m/s and returns to the detector 16 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
11200 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1400 m/s × 16 s) ÷ 2 = 11200 m.
5. An echo-sounding pulse travels through a medium at v = 1450 m/s and returns to the detector 7 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
5075 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1450 m/s × 7 s) ÷ 2 = 5075 m.
6. An echo-sounding pulse travels through a medium at v = 5000 m/s and returns to the detector 6 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
15000 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (5000 m/s × 6 s) ÷ 2 = 15000 m.
7. An echo-sounding pulse travels through a medium at v = 1520 m/s and returns to the detector 16 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
12160 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1520 m/s × 16 s) ÷ 2 = 12160 m.
8. An echo-sounding pulse travels through a medium at v = 340 m/s and returns to the detector 9 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
1530 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (340 m/s × 9 s) ÷ 2 = 1530 m.
9. An echo-sounding pulse travels through a medium at v = 1400 m/s and returns to the detector 3 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
2100 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1400 m/s × 3 s) ÷ 2 = 2100 m.
10. An echo-sounding pulse travels through a medium at v = 5000 m/s and returns to the detector 23 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
57500 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (5000 m/s × 23 s) ÷ 2 = 57500 m.
11. An echo-sounding pulse travels through a medium at v = 1500 m/s and returns to the detector 11 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
8250 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1500 m/s × 11 s) ÷ 2 = 8250 m.
12. An echo-sounding pulse travels through a medium at v = 1600 m/s and returns to the detector 18 s after emission. Using d = (v × t) ÷ 2, calculate the distance to the reflecting boundary.
14400 m
Because the pulse travels to the boundary and back, d = (v × t) ÷ 2 = (1600 m/s × 18 s) ÷ 2 = 14400 m.

12 questions · Seed 43 · Age guidance, not curriculum certification