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Vectors and matrices — Question 17

QCAA 2021, Paper 2 · 7 marks

Q17 · 2021 · Technology-activeComplex familiar7 marks

QUESTION 17 (7 marks)

An object with a mass of 2 kg is released from rest at the top of a 1 metre long frictionless plane inclined at 30∘30^\circ to the horizontal. A force of PP newtons acting parallel to the plane opposes the motion of the object as it travels down the plane. When the object is xx metres from the top of the plane, its velocity is vv m s−1^{-1}. Given ∣P∣=44−x2|P|=\dfrac4{\sqrt{4-x^2}}, determine xx when v=2v=2.
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