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Which graph best represents the relationship between KE and speed?
A graph with vertical axis K E and horizontal axis Speed with a straight line sloping sharply upward.
A graph with vertical axis K E and horizontal axis Speed with a concave line sloping sharply upward.
A graph with vertical axis K E and horizontal axis Speed with a straight line sloping sharply downward.
A graph with vertical axis K E and horizontal axis Speed with a curved line going first upward and then downward.
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GPT-5 mini
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The second graph — the concave (upward‑curving) line sloping sharply upward.
Reason: KE = 1/2 mv^2, so kinetic energy is proportional to the square of speed. That gives a parabola (concave up) through the origin, with slope increasing as speed increases.
Reason: KE = 1/2 mv^2, so kinetic energy is proportional to the square of speed. That gives a parabola (concave up) through the origin, with slope increasing as speed increases.
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