Paper 4 October/November 2006 MATHEMATICH (9709/4) A Levels
لطفا برای اطمینان از عملکرد و تجربه بهتر از مرورگرهای مدرن و به روز مانند کروم یا فایرفاکس استفاده کنید.

A particle $P$ moves in a straight line. It starts from rest at $A$ and comes to rest instantaneously at $B$. The velocity of $P$ at time $t$ seconds after leaving $A$ is $vm{\text{ }}{s^{ - 1}}$, where $v = 6{t^2} - k{t^3}$ and $k$ is a constant.
a) Find an expression for the displacement of $P$ from $A$ in terms of $t$ and $k$.
b) Find an expression for $t$ in terms of $k$ when $P$ is at $B$.
Given that the distance $AB$ is $108{\text{…