4400 Higher June 2006 Paper 4 Q18

EdexcelHigherOld spec3 marksDifferentiation

18 A particle moves along a line.
For \(t \geqslant 1\), the distance of the particle from \(O\) at time \(t\) seconds is \(x\) metres, where
\(x = \dfrac{20}{t}\)

Find an expression for the acceleration of the particle.

(3)

Scheme	Marks
Attempt differentiate once	M1
\(-20t^{-2}\) or \(-20/t^2\)	A1
\(40t^{-3}\) or \(40/t^3\)	A1
	(3)
	(3 marks)

Notes