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Kinematics - Interpreting Graphs and deriving equations

  1. Mar 21, 2016 #1
    1. The problem statement, all variables and given/known data
    upload_2016-3-21_23-15-23.png

    2. Relevant equations
    average speed = total distance/total time
    3. The attempt at a solution

    24.


    The shortest road distance from Toronto City Hall to the Shaw festival theatre in Niagara-on-the-Lake is 131 km.

    a)

    First I will calculate the area of each rectangle using this formula: A = l x w

    d = (40 km/h) (0.5 h)

    = 20 km

    d = (80 km/h) (1.0 h)

    = 80 km

    d = (60 km/h) (0.5 h)

    = 30 km

    Total distance travelled:

    total d = 20 km + 80 km + 30 km

    total d = 130 km

    We already know that the shortest road distance from Toronto City Hall to the Shaw festival theatre is 131 km. In 2 hours, the transport has travelled a total of 130 km, meaning it has just about reached the festival theatre.

    b)

    Average speed of the truck = total distance / total time

    = 130 km / 2.0 h

    = 65 km/h



    please verify if my answer is correct.
    thank you :)
     

    Attached Files:

  2. jcsd
  3. Mar 21, 2016 #2

    haruspex

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    Looks right.
     
  4. Mar 21, 2016 #3
    Thanks :)
     
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