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Kinematics
Quick questions on Differentiation in kinematics: N(A)-Level Additional Mathematics
6short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.
What is velocity is the derivative of displacement?Show answer
Because velocity is the rate of change of displacement, you find it by differentiating with respect to time:
What is acceleration is the derivative of velocity?Show answer
Acceleration is the rate of change of velocity, so differentiate again:
What is finding when a particle is at rest?Show answer
A particle is instantaneously at rest when its velocity is zero. So set the velocity function equal to zero and solve for :
What is q1?Show answer
Given , find the velocity function. [1 mark]
What is q2?Show answer
Given , find the time when the particle is at rest. [2 marks]
What is q3?Show answer
Given , find the acceleration at . [3 marks]
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