Mathematics Mechanics 1 9709: GENERAL MOTION IN STRAIGHT LINE Topical Past Paper Questions

Particle P travels in a straight line from A to B. The velocity of P at time t s after leaving A is denoted by $ v \, m \, s^{-1} $, where $$ \nu=0.04t^{3}+c t^{2}+k t. $$ P takes 5 s to travel from A to B and it reaches B with speed 10 m s $ ^{-1} $. The distance AB is 25 m. (i)…

A particle moves in a straight line. The particle is initially at rest at a point $O$ on the line. At time $t$ s after leaving $O$, the acceleration $a \mathrm{~m} \mathrm{s}^{-2}$ of the particle is given by $a = 25 - t^{2}$ for $0 \leqslant t \leqslant 9$. (i) Find the maximum…