(a)[3]
Find the total duration of the journey from O to P.
(b)[4]
On the axes provided, sketch a displacement-time graph for the cyclist’s journey from O to P, and show the distances covered after $10\,\text{s}$ and $40\,\text{s}$ on your sketch.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
The diagram displays the cyclist’s velocity-time graph. It is made up of three straight-line sections. The cyclist goes through point O at speed $3\,\text{m s}^{-1}$, then accelerates for $10\,\text{s}$ at constant acceleration $0.5\,\text{m s}^{-2}$. After that, he continues at constant speed for $30\,\text{s}$ before slowing down, finally coming to rest at point P, and he covers a distance of $80\,\text{m}$ during the deceleration.