Paper 5 May/June 2010 MATHEMATICS (9709/51) A Levels
لطفا برای اطمینان از عملکرد و تجربه بهتر از مرورگرهای مدرن و به روز مانند کروم یا فایرفاکس استفاده کنید.

A particle $P$ of mass $0.2{\text{ }}kg$ is projected with velocity $2{\text{ }}m{\text{ }}{s^{ - 1}}$ upwards along a line of greatest slope on a plane inclined at ${30^ \circ }$ to the horizontal (see diagram). Air resistance of magnitude $0.5v{\text{ }}N$ opposes the motion of $P$, where $vm{\text{ }}{s^{ - 1}}$ is the velocity of $P$ at time $t\,s$ after projection. The coefficient of friction between $P$ and the plane is $\frac{1}{{2\surd 3}}$. The particle $P$ reaches a position…