Three graphs on a shared time axis — compare s(t), v(t) = s′(t), and a(t) = v′(t) at exactly the same instant.
Allowed: sin, cos, tan, sqrt, log, exp, abs, pi, e. Use ^ for powers.
t-min
t-max
position s(t)velocity v(t)acceleration a(t)
Position s(t)
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Velocity v(t) = s′(t)
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Acceleration a(t) = v′(t)
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Teaching idea: Pause the marker at one instant and ask: "If the position graph is rising, what should the sign of velocity be?" Then: "If velocity is decreasing, what is the sign of acceleration?"