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How fast are you moving? How fast is how fast you are moving changing? Displacement, velocity, and acceleration form the art of understanding movement, Calculus-style.

Galileo's famous Leaning Tower of Pisa experiment demonstrated that the time taken for two balls of different masses to hit the ground is independent of its weight. Assuming that the following table indicates the vertical height \(h\) that the cannonballs dropped \(t\) seconds after being released till it hits the ground and comes to rest.

time \(t\) | 0 | 0.5 | 1 | 1.5 | 2 | 2.5 | 3 |

height \(h\) | 0 | 1 | 5 | 11 | 20 | 30 | 44 |

Which of the following is the best approximation for the **instantaneous speed** at \( t = 2.5 \)?

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