Kinematics
Akopọ
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.
Awọn Afojusun
- 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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Oriire fun ipari ẹkọ lori Kinematics. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.
Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.
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- 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
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Ẹ̀kọ́ síwájú láti àwọn orísun ṣíṣí
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Abala ìwé ẹ̀kọ́
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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