A particle moves in a straight line through the origin OOO.
The displacement of the particle, r r\,r metres, from O O\,O at time t t\,t seconds is given by r=p+3t−qe−0.25tr = p + 3t - q\mathrm{e}^{-0.25t}r=p+3t−qe−0.25t where p p\,p and q q\,q are constants.
When t=4t = 4t=4, the acceleration of the particle is -1.5 m s−2^{-2}−2.
Show that q≈65q \approx 65q≈65.
The particle has an initial displacement of 8 metres. Find the value of ppp, giving your answer to two significant figures.
204 exam-style questions on CCEA A Level Maths 4.1 Kinematics (A-level only), covering 4.1.1 Kinematics (A-level only), 4.1.2 Kinematics (A-level only), and 4.1.3 Kinematics (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.