4MA0 Higher January 2017 Paper 4 Q17

EdexcelHigherOld spec3 marksDifferentiation

17 A particle moves along a straight line.
The fixed point \(O\) lies on this line.
The displacement of the particle from \(O\) at time \(t\) seconds is \(s\) metres where

\[s = 4t^2 - \frac{9}{t}\]

Find the velocity of the particle at time 5 seconds.

(3)

Scheme	Marks
(\(v =\)) \(8t + \dfrac{9}{t^2}\) or (\(v =\)) \(8t + 9t^{-2}\)	M2
40.36	A1
	(3)
	(3 marks)

Notes