Mathematics B 9-1 4MB1: Differentiation and Kinematics Topical Past Paper Questions

Given that $ y = x^{3} + 2x^{2} - 15x + 7 $ find $ \frac{dy}{dx} $

A particle P is moving along a straight line. At time $t$ seconds, the displacement, $x$ metres, of $P$ from a fixed point $O$ on the line is given by $$ x\equiv kt^{2}-t^{3} $$ When $ t = 2 $ the velocity of particle P is 24 m/s Particle $P$ comes to instantaneous rest at the po…

(a) Differentiate $ 4 + 10t - 6t^{2} $ (2) A rocket moves vertically so that at time t seconds, the velocity, v m/s is given by $$ \nu=4+10t-6t^{2} $$ (b) Find the time, in seconds, when the rocket stops accelerating vertically. (2) The vertical displacement, $d$ metres, of the r…