Historical Figures
These people believe that mathematical objects have a existence independent of any human mind.
Who are Platonists?
The units of acceleration are ft/s2 or m/s2. The real meaning of these units comes out through this phrasing, the way they should be read.
What is feet per second per second (or meters per second per second)?
This is the slope of a secant line, in terms of delta notation.
What is Δy/Δx?
These are the two main theories of contemporary physics.
What are general relativity and quantum mechanics?
The height of a golf ball launched into the air is given by the formula h(t) = -16t2 + 200t + 6. This is the formula for the velocity of the golf ball.
What is v(t) = -32t + 200?
This person revived the Platonic-Pythagorean tradition during the Scientific Revolution.
Who was Galileo?
This has been added to Galileo's Law of Fall, to show that an object is being dropped downwards.
What is a negative sign?
The symbolic definition of a derivative.
What is y' = dy/dx = limΔx -> 0 (Δy/Δx)?
Geometrically, the derivative of a function is this.
What is the slope of the function?
The height of a golf ball launched into the air is given by the formula h(t) = -16t2 + 200t + 6. This is the formula for the acceleration of the golf ball.
What is a(t) = -32?
This mathematician saw physics as religious because it was a way to investigate God's handiwork.
Who was Newton?
In the graph of Galileo's free fall, this portion of the graph is meaningless.
What is t<0 (or times less than zero)?
Average slope, in symbols.
What is Δy/Δx?
This is the free fall formula for a rock dropped from a height of 70 feet.
What is h(t) = -16t2 + 70?
This is the slope of y(x) = x2 at x = 3.
*Use the Power Rule.
What is 6?
This man said that the cause of change was to be found in an object's nature.
Who was Aristotle?
What is a tangent line?
Instantaneous slope, in symbols.
What is dy/dx?
This is the free fall formula for an object thrown downward at a speed of 50 ft/s from an initial height of 13 feet.
What is h(t) = -16t2 - 50t + 13?
This is the formula for the acceleration of any free fall height function.
What is a(t) = -32?