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QLDMath MethodsQuick questions

Unit 4: Further calculus and statistical inference

Quick questions on Area and kinematics applications of integration: QCE Maths Methods Unit 4

4short 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 displacement from velocity?
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For a particle with velocity v(t)v(t) from t=t1t = t_1 to t=t2t = t_2:
What is distance travelled from velocity?
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Total distance is the integral of speed ∣v(t)∣|v(t)|:
What is position function from velocity?
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If v(t)=dxdtv(t) = \frac{dx}{dt} and x(t0)=x0x(t_0) = x_0 is the initial position:
What are top-bottom backwards?
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Picking the wrong "top" gives a negative area. Test a value in each sub-interval before integrating.

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