IB DP Maths: AI HL复习笔记5.5.2 Calculus for Kinematics
Differentiation for Kinematics
How is differentiation used in kinematics?
- Displacement, velocity and acceleration are related by calculus
- In terms of differentiation and derivatives
Worked Example
Integration for Kinematics
How is integration used in kinematics?
How would I find the constant of integration in kinematics problems?
- A boundary or initial condition would need to be known
you might also be given information about the object at some other time (this is called a boundary condition)- substituting the values in from the initial or boundary condition would allow the constant of integration to be found
How are definite integrals used in kinematics?
- Definite integrals can be used to find the displacement of a particle between two points in time
Exam Tip
- Sketching the velocity-time graph can help you visualise the distances travelled using areas between the graph and the horizontal axis
Worked Example
转载自savemyexams
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