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

A particle moves in a straight line through two points O and A. The particle starts from A and initially moves away from O. The velocity of the particle t seconds after leaving A is $ v m s^{-1} $, where $ v = 6t - t^{\frac{3}{2}} $. (a) Given that the particle is 700m from O whe…

A particle $P$ moves in a straight line. At time $t$s after leaving a point $O$ on the line, the acceleration $a \mathrm{~m s}^{-2}$ of $P$ is given by $a = kt - 3$, where $k$ is a positive constant. At time $t = 0$, the velocity of $P$ is $1 \, \mathrm{m s}^{-1}$. (a) Given that…

A particle travels in a straight line. The velocity of the particle at time t is after leaving a point O is $ v m s^{-1} $, where $$ v=kt^{2}-4t+3. $$ The distance travelled by the particle in the first 2 s of its motion is 6 m. You may assume that $ \nu > 0 $ in the first 2 s of…