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Speed worksheet

Grades 5–6 · CCSS 6.RP.A.3.d

Solve each problem and show your work. Round answers to 2 decimal places where needed.

1.
Problem 1.
- Speed: 85
- From: Knots (kn)
- To: Meters per second (m/s)
Find: In meters per second
Answer
2.
Problem 2.
- Speed: 70
- From: Knots (kn)
- To: Feet per second (ft/s)
Find: In feet per second
Answer
3.
Problem 3.
- Speed: 48
- From: Meters per second (m/s)
- To: Miles per hour (mph)
Find: In miles per hour
Answer
4.
Problem 4.
- Speed: 40
- From: Miles per hour (mph)
- To: Feet per second (ft/s)
Find: In feet per second
Answer
5.
Problem 5.
- Speed: 55
- From: Knots (kn)
- To: Feet per second (ft/s)
Find: In feet per second
Answer
6.
Problem 6.
- Speed: 70
- From: Feet per second (ft/s)
- To: Kilometers per hour (km/h)
Find: In kilometers per hour
Answer
7.
Problem 7.
- Speed: 48
- From: Kilometers per hour (km/h)
- To: Feet per second (ft/s)
Find: In feet per second
Answer
8.
Problem 8.
- Speed: 49
- From: Meters per second (m/s)
- To: Feet per second (ft/s)
Find: In feet per second
Answer
9.
Problem 9.
- Speed: 70
- From: Knots (kn)
- To: Mach (sea-level ISA, approx.) (Mach)
Find: In mach (sea-level isa, approx.)
Answer
10.
Problem 10.
- Speed: 90
- From: Kilometers per hour (km/h)
- To: Feet per second (ft/s)
Find: In feet per second
Answer

Answer key: Speed worksheet

1. In meters per second: 43.73 m/s
1. Convert to meters per second: 1 kn = 0.5144444444 m/s, so multiply
  $85 kn \times 0.5144444444$ $= 43.7277777778 m/s$
2. In feet per second: 118.15 ft/s
1. Convert to meters per second: 1 kn = 0.5144444444 m/s, so multiply
  $70 kn \times 0.5144444444$ $= 36.0111111111 m/s$
2. Convert to feet per second: 1 ft/s = 0.3048 m/s, so divide
  $\frac{36.0111111111 m/s}{0.3048}$ $= 118.1466899971 ft/s$
3. In miles per hour: 107.37 mph
1. Convert to miles per hour: 1 mph = 0.44704 m/s, so divide
  $\frac{48 m/s}{0.44704}$ $= 107.3729420186 mph$
4. In feet per second: 58.67 ft/s
1. Convert to meters per second: 1 mph = 0.44704 m/s, so multiply
  $40 mph \times 0.44704$ $= 17.8816 m/s$
2. Convert to feet per second: 1 ft/s = 0.3048 m/s, so divide
  $\frac{17.8816 m/s}{0.3048}$ $= 58.6666666667 ft/s$
5. In feet per second: 92.83 ft/s
1. Convert to meters per second: 1 kn = 0.5144444444 m/s, so multiply
  $55 kn \times 0.5144444444$ $= 28.2944444444 m/s$
2. Convert to feet per second: 1 ft/s = 0.3048 m/s, so divide
  $\frac{28.2944444444 m/s}{0.3048}$ $= 92.8295421406 ft/s$
6. In kilometers per hour: 76.81 km/h
1. Convert to meters per second: 1 ft/s = 0.3048 m/s, so multiply
  $70 ft/s \times 0.3048$ $= 21.336 m/s$
2. Convert to kilometers per hour: 1 km/h = 0.2777777778 m/s, so divide
  $\frac{21.336 m/s}{0.2777777778}$ $= 76.8096 km/h$
7. In feet per second: 43.74 ft/s
1. Convert to meters per second: 1 km/h = 0.2777777778 m/s, so multiply
  $48 km/h \times 0.2777777778$ $= 13.3333333333 m/s$
2. Convert to feet per second: 1 ft/s = 0.3048 m/s, so divide
  $\frac{13.3333333333 m/s}{0.3048}$ $= 43.7445319335 ft/s$
8. In feet per second: 160.76 ft/s
1. Convert to feet per second: 1 ft/s = 0.3048 m/s, so divide
  $\frac{49 m/s}{0.3048}$ $= 160.7611548556 ft/s$
9. In mach (sea-level isa, approx.): 0.11 Mach
1. Convert to meters per second: 1 kn = 0.5144444444 m/s, so multiply
  $70 kn \times 0.5144444444$ $= 36.0111111111 m/s$
2. Convert to mach (sea-level isa, approx.): 1 Mach = 340.294 m/s, so divide
  $\frac{36.0111111111 m/s}{340.294}$ $= 0.1058235265 Mach$
10. In feet per second: 82.02 ft/s
1. Convert to meters per second: 1 km/h = 0.2777777778 m/s, so multiply
  $90 km/h \times 0.2777777778$ $= 25 m/s$
2. Convert to feet per second: 1 ft/s = 0.3048 m/s, so divide
  $\frac{25 m/s}{0.3048}$ $= 82.0209973753 ft/s$