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Trace the distance-time graph and the tangent at second on your paper. Distance is measured in feet.

  1. Estimate the velocity at s.

    Estimate the slope of the tangent.

  2. Locate another time on the graph where the object has the same velocity as . Use you graph to show how you know the velocities are equal.

    Sketch various tangent lines to the graph of . Keep sketching until you find one with the same slope as the tangent at .

    Parallel lines have the same slope.

Curve labeled, v of t, coming from lower left through the point (0, comma negative 4), passing through the point (1, comma 2), turning at the approximate points (1.5, comma 3) & (3.25, comma 1), passing through the approximate point (4, comma 2), continuing up & right, changing from concave down to concave up at about (2.5, comma 2), & increasing line tangent to the curve at the point (1, comma 2), passing through the x axis at about 0.5.