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Multiple Choice Question

A ball travels at a constant speed of 6 meters per second along a frictionless surface. Which table correctly shows what a student may have measured and recorded if they watched this ball in motion over a 10-second time period?
A.
Time (seconds) Distance (meters)
2 12
4 24
6 36
8 48
10 60
B.
Time (seconds) Distance (meters)
2 6
4 12
6 24
8 36
10 42
C.
Time (seconds) Distance (meters)
2 24
4 34
6 44
8 54
10 64
D.
Time (seconds) Distance (meters)
2 12
4 20
6 22
8 30
10 32

1 answer

To find the correct table, we can use the formula for distance when speed and time are known:

\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Given that the speed of the ball is 6 meters per second, we can calculate the distance traveled at various time intervals over a 10-second period:

  1. At 2 seconds: \[ \text{Distance} = 6 , \text{m/s} \times 2 , \text{s} = 12 , \text{meters} \]

  2. At 4 seconds: \[ \text{Distance} = 6 , \text{m/s} \times 4 , \text{s} = 24 , \text{meters} \]

  3. At 6 seconds: \[ \text{Distance} = 6 , \text{m/s} \times 6 , \text{s} = 36 , \text{meters} \]

  4. At 8 seconds: \[ \text{Distance} = 6 , \text{m/s} \times 8 , \text{s} = 48 , \text{meters} \]

  5. At 10 seconds: \[ \text{Distance} = 6 , \text{m/s} \times 10 , \text{s} = 60 , \text{meters} \]

Now we can compare the calculated distances with the options provided:

Option A:

  • 2 seconds: 12 meters (Correct)
  • 4 seconds: 24 meters (Correct)
  • 6 seconds: 36 meters (Correct)
  • 8 seconds: 48 meters (Correct)
  • 10 seconds: 60 meters (Correct)

Option B:

  • 2 seconds: 6 meters (Incorrect)
  • 4 seconds: 12 meters (Incorrect)
  • 6 seconds: 24 meters (Incorrect)
  • 8 seconds: 36 meters (Incorrect)
  • 10 seconds: 42 meters (Incorrect)

Option C:

  • 2 seconds: 24 meters (Incorrect)
  • 4 seconds: 34 meters (Incorrect)
  • 6 seconds: 44 meters (Incorrect)
  • 8 seconds: 54 meters (Incorrect)
  • 10 seconds: 64 meters (Incorrect)

Option D:

  • 2 seconds: 12 meters (Correct)
  • 4 seconds: 20 meters (Incorrect)
  • 6 seconds: 22 meters (Incorrect)
  • 8 seconds: 30 meters (Incorrect)
  • 10 seconds: 32 meters (Incorrect)

The only table that correctly represents the distances for each time interval is Option A.