Gce Model Questions Vol1 2025 Further Mathematics Question 29
Practice objective / multiple choice question 29 from the 2025 Gce Model Questions Vol1 Further Mathematics examination.
A particle of mass \(m = 0.2\,\text{kg}\) moves along a straight line under a variable driving force \(F(x)=k x^{2}\) (with \(k>0\) in N·m⁻²) and a constant resistive force \(R\) that opposes the motion. The particle starts from rest at \(x=0\) and reaches \(x=0.5\,\text{m}\) with a speed of \(2\,\text{m s}^{-1}\). It is known that the resistive force equals 5 % of the maximum value of the driving force over the interval \([0,0.5]\). Determine the value of \(k\) (to three significant figures) and the resistive force \(R\) (in newtons).
Answer Options
About This Question
This is Gce Model Questions Vol1 2025 Further Mathematics Question 29. It is one of the objective questions from the 2025 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Hard .
Master the Exam!
You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.