A particle moves in a straight line. Its velocity, $$\(v \mathrm{~ms}^{-1}\)$$, at time $$\(t\)$$ seconds is given by $$\[ v=\cos t-\sin t \]$$ Find the acceleration, $$\(a \mathrm{~ms}^{-2}\)$$, when $$\(t=\frac{\pi}{3}\)$$. The displacement of the particle from a fixed point $$\(O\)$$ at time $$\(t\)$$ is $$\(s\)$$ metres. The particle passes through when $$\(t=0\)$$.

Additional Mathematics
IGCSE&ALevel
CAIE
Exam No:0606_w24_qp_23 Year:2024 Question No:12(a)

Answer:



Knowledge points:

14.5 Use differentiation to find gradients, tangents and normals.

Solution:

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