Paper 5 May/June 2003 MATHEMATICH (9709/5) A Levels
لطفا برای اطمینان از عملکرد و تجربه بهتر از مرورگرهای مدرن و به روز مانند کروم یا فایرفاکس استفاده کنید.

A cyclist and his bicycle have a total mass of $81{\text{ }}kg$. The cyclist starts from rest and rides in a straight line. The cyclist exerts a constant force of $135{\text{ }}N$ and the motion is opposed by a resistance of magnitude $9v{\text{ }}N$, where $vm{\text{ }}{s^{ - 1}}$ is the cyclist’s speed at time $t\,s$ after starting.
a) Show that $\frac{9}{{15 - v}}\frac{{dv}}{{dt}} = 1$.
b) Solve this differential equation to show that $v = 15\left(…