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In a ‘soapbox’ competition a driver raced against the clock in a straight line down a track in a vehicle with no power source - Junior Cycle Science - Question c - 2016

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In a ‘soapbox’ competition a driver raced against the clock in a straight line down a track in a vehicle with no power source. The table below gives the distances (... show full transcript

Worked Solution & Example Answer:In a ‘soapbox’ competition a driver raced against the clock in a straight line down a track in a vehicle with no power source - Junior Cycle Science - Question c - 2016

Step 1

Use this table to draw a distance against time graph.

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Answer

To draw the distance against time graph:

  1. Plot the points from the table: (0,0), (4,6), (8,14), (12,24), (16,44), (20,100).
  2. Mark the x-axis with the time in seconds and the y-axis with the distance in meters.
  3. Ensure all six points are plotted accurately.
  4. Draw a smooth curve that connects the points without any straight lines or joining just dots.

Step 2

Find the time taken for the vehicle to travel 80 m.

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Answer

From the graph, to find the time taken to reach 80 m, identify the time value when the distance is 80 m. This occurs at approximately 18 seconds. Thus, the time taken for the vehicle to travel 80 m is:

Time = 18 s ± 0.5 s

Step 3

Calculate the average speed of the vehicle during the last four seconds of the run.

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Answer

To calculate the average speed during the last four seconds (from 16 s to 20 s):

  1. Determine the distance travelled during this period:

    • Distance at 16 s = 44 m
    • Distance at 20 s = 100 m
    • Distance travelled = 100 m - 44 m = 56 m
  2. The time taken is 4 seconds.

  3. Average speed can be calculated using the formula:

    ext{Average Speed} = rac{ ext{Distance}}{ ext{Time}} = rac{56 ext{ m}}{4 ext{ s}} = 14 ext{ m/s}

Thus, the average speed is 14 m/s.

Step 4

What is the difference between speed and velocity?

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Answer

Speed and velocity are both measures of how fast an object moves, but they have distinct differences:

  1. Direction: Speed is a scalar quantity, which means it only has magnitude (how fast something is moving). Velocity is a vector quantity, which includes both speed and direction (where something is moving).

  2. Displacement: Velocity is defined as displacement over time, while speed is the distance travelled over time.

  3. Magnitude: Speed is the absolute measure of how fast an object is moving, irrespective of its direction, while velocity takes into account the specific direction of motion.

In summary, speed is how fast you are going, while velocity is how fast you are going in a certain direction.

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