Calculus

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Free falling rate word problem.

Illustration of characters Harriet and Dave in free fall, with Harriet descending at a constant rate H(t)=16tH(t)=16t and Dave accelerating under gravity D(t)=16t2D(t)=16t2, used to demonstrate velocity and acceleration in physics.

This educational illustration demonstrates concepts of velocity and acceleration through the comparison of two characters, Harriet and Dave, each with different rates of descent. Harriet, depicted with a linear descent equation H(t) = 16t, maintains a constant velocity, while Dave’s descent follows D(t)=16t2 , illustrating acceleration due to gravity. This visual is an effective tool for physics and mathematics educators explaining concepts of linear and quadratic relationships in motion. Ideal for high school or introductory college-level physics courses.

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