Kinematics
Bayani Gaba-gaba
Calculus describes motion exactly. Differentiating a displacement gives velocity, and differentiating velocity gives acceleration; integrating reverses each step. The area under a velocity-time graph is the distance travelled.
In this lesson you will apply differentiation and integration to kinematics problems involving displacement, velocity and acceleration, and draw and use the related motion graphs.
Manufura
- Apply differentiation and integration to kinematics problems involving the displacement, velocity and acceleration of a particle moving in a straight line.
- Draw and use displacement-time, velocity-time and acceleration-time graphs.
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Nazarin Darasi
Barka da kammala darasi akan Kinematics. Yanzu da kuka bincika mahimman raayoyi da raayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.
Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.
Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.
- To get velocity from displacement you: A. integrate B. differentiate C. square D. add a constant Answer: B
- Acceleration is the rate of change of: A. displacement B. velocity C. distance D. time Answer: B
- The area under a velocity-time graph gives the: A. acceleration B. distance travelled C. speed D. time Answer: B
- If s = 3t^3 - 10t^2 + 4t, then v at general t is: A. 9t^2 - 20t + 4 B. 6t - 10 C. 9t^2 - 20t D. 3t^2 - 10t Answer: A
- The gradient of a velocity-time graph gives the: A. distance B. displacement C. acceleration D. speed Answer: C
Yi aikin wadannan tambayoyi a cikin manhaja
Yi aikin wadannan tambayoyi a cikin manhaja
Littattafan da ake ba da shawarar karantawa
Ƙarin koyo daga tushe na buɗe
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Sashen littafi
Derivatives
Find the derivative of a function.
"Precalculus: Derivatives" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/precalculus/pages/12-4-derivatives. Access for free at https://openstax.org/books/precalculus/pages/1-introduction
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