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For more information, please see full course syllabus of AP Physics B
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Related Articles:

Kinematics Equation Of Calculus

  • The derivative has a geometric interpretation in terms of the slope of the tangent to a graph. A function f(x) has a minimum or a maximum at values of x where the derivative f’(x) vanishes.
  • The derivative of the product of two functions u(x) and v(x) is (uv)’ = u’v + uv’.
  • The derivative of the quotient of two functions is (u/v)’ = (u’v – uv’)/(v*v).
  • Equations relating x, v, a, and t, may be derived using derivatives.

Kinematics Equation Of Calculus

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • The Derivative 0:12
    • Idea of a Derivative
    • Derivative of a function X= df/dx
    • Example: F(x)=Constant c
    • Example: F(x)= X
    • Example: F(x)= AX
    • Example: F(x)= X squared
    • Example: F(x)= X cubed
    • Example: F(x) =SinX
    • Example: F(x) =CosX
  • Product of Functions 16:56
    • Example: F(x) = X (squared) Sin X
  • Quotient Rule 23:03
    • Example: F(x)=uV-vU/V2
  • Kinematics of Equation 25:10
    • First Kinematic Equation : V=Vo+aT
  • Extra Example 1: Particle on X-Axis
  • Extra Example 2: Graphical Analysis