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3-16.

After class, Stevie travels in a straight hallway with a velocity shown in the graph at right, where is measured in minutes and is measured in feet per minute. 

  1. Explain what is happening when minutes.

    Notice that the velocity is negative when .

    When velocity is negative, Stevie moves back towards his starting position.

  2. Calculate the total distance Stevie traveled.

    Total distance is the area under a speed graph. Speed is the absolute value of velocity.

    A speed graph is the absolute value of a velocity graph...
    .
    .

  3. If Stevie only travels in the straight hallway, how far does he end up from his original starting place?

    Distance from starting point is known as 'displacement.'
    Displacement is the area under a velocity graph.

  4. What is Stevie’s acceleration at ?

    Acceleration is slope on a velocity graph.

  5. When is Stevie’s acceleration equal to zero?

    See hint in part (d).

Continuous linear piecewise, starting at the origin, turning down at (2, comma 20), turning right at (3, comma 15), turning down at (4, comma 15),, turning up at (5, comma negative 15), ending at (6, comma 0).