A particle of mass m m\,m kg falls vertically from rest. At speed v v\,v m s−1^{-1}−1 it experiences a resistive force of magnitude 2mv 2mv\,2mv N. Take downwards as positive and use gravitational acceleration g g\,g m s−2^{-2}−2.
Show that dvdt=g−2v\dfrac{dv}{dt}=g-2vdtdv=g−2v.
Find v v\,v in terms of t t\,t and ggg.
State the limiting speed.
91 exam-style questions on WJEC A Level Maths 4.6 Integration (A-level only), covering 4.6.1 Integration (A-level only) and 4.6.2 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.