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How do you find the distance travelled given constant speed and time?

A radio message is sent to the Mars Rover. The message moves at a constant speed of 3x108 m/s, and travels for 1 minute and 45 seconds. How far did the message travel a) in meters? b) in miles?

Summary

  1. E- Earth
  2. MR- Mars Rover
  3. d- distance, an unknown
  4. t- time of travel is 1 minute and 45 seconds
  5. s- speed, in this case the speed of light in meters per second

Notes

    1. Constant speed means that you don't get faster, and you don't get slower
    2. Think d=s•t when you see constant speed
    1. d- distance
    2. s- speed
    3. t- time
    4. Think of this with constant speed problems
    1. t- time
    2. min- minutes
    3. sec- seconds
    4. We need the total time in seconds, since that is the unit given in the speed
    1. t- time
    2. sec- seconds
    3. We need the total time in seconds, since that is the unit given in the speed
    1. d- distance
    2. m- meters
    3. sec- seconds
    4. Plug numbers into the equation!
    1. d- distance
    1. Convert meters to miles
    2. m- meters
    3. cm- centimeters
    4. in- inches
    5. ft- feet
    6. mi- miles
    1. d- distance
    2. Here we've converted meters to miles
    1. m- meters
    2. sec- seconds
    3. Constant speed on a speed vs. time graph mean a flat line
    4. Height of a constant speed line on the graph is speed
    5. Length of the constant speed line is the time
    6. Area of the rectangle gives total distance
    1. The area under a speed vs. time graph tells you the distance traveled
    1. For a rectangle, just take the base and multiply by the height, and you get the area
    1. m- meters
    2. sec- seconds
    3. Plug the numbers in to find the area of the rectangle, and therefore the distance
    1. d- distance
    2. Using graphs alone we found the same answer as what we got with algebra