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Free Fall . Galileo and Newton. Galileo Galilei (1564-1642). “I do not feel obliged to believe that the same god who has endowed us with sense, reason and intellect has intended us to forgo their use.” . Facts about Galileo. Father of Kinematics (How)
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Free Fall Galileo and Newton
Galileo Galilei (1564-1642) “I do not feel obliged to believe that the same god who has endowed us with sense, reason and intellect has intended us to forgo their use.”
Facts about Galileo • Father of Kinematics (How) • Concluded that all objects fall at same rate of acceleration. • Demonstrated the scientific method in developing the kinematics of free fall motion. • Tested his hypothesis through experimentation.
More Galileo • Used reductionism- reducing a complex problem into a simple problem. • All motion one kind of motion • Felt free fall was the key to understanding all motion.
Galileo and Free Fall • Developed mathematical formulas • For a free falling object vαt • For free falling objects dαt2 • Derived equation for free fallΔd =vit + ½at2
Conclusions from Incline Plane Experiment • Distance divided by time squared is constant • Assumptions about distance, velocity, and time were correct • All objects fall at the same rate of acceleration
Acceleration • Definition: Rate of time at which velocity changes • Equation: aavg=Dv/Dt • Units: m/s2 • vector: has direction
Sir Isaac Newton (1642-1727) “Truth is ever to be found in the simplicity, and not in the multiplicity and confusion of things.”
Fact about Newton • Father of dynamics (why) • Published ‘Three laws of motion’ and universal law of gravitation in 1687. • Inertia • F=ma • Action/reaction
Displacement (Δd) of object in equal and consecutive units of time (Δt). 1 3 5 7
1 Position (d) of object after equal and consecutive units of time (t). 4 9 16