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The set of ordered pairs \((t, d)\) where \(t\) is the time in seconds after someone jumps out of a plane at 4000 meters to go skydiving, and \(d\) is the displacement above the ground.

Answer :

Final answer:

The pair (t,d) in the context of this question represents the equation of motion for a skydiver. The equation used is 4000 - 1/2gt², and gives the displacement above the ground over time.

Explanation:

The pair (t,d) represents an equation of motion for a skydiver. In physics, the displacement d of an object falling under gravity, ignoring air resistance, is given by the equation d = 1/2gt², where g is the acceleration due to gravity, typically 9.8m/s², and t is the time. In this case, the skydiver started 4000 meters above the ground, so the equation would actually be 4000 - 1/2gt². This equation gives the displacement above the ground of the skydiver at any given time t.

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