Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A train leaves station $A$ at rest and moves along a straight track to station $B$, where it finally stops. For the first $600\,\text{s}$ it has constant acceleration $0.025\,\text{m s}^{-2}$, then it continues at constant speed for the next $2600\,\text{s}$, and at the end it slows down with constant deceleration $0.0375\,\text{m s}^{-2}$.
(i)[4]
Find the total time for the journey from $A$ to $B$.
(ii)[3]
Draw the velocity-time graph for the journey and determine the distance $AB$.
(iii)[1]
At $t$ seconds after leaving $A$, the train's speed is $7.5\,\text{m s}^{-1}$. State the possible values of $t$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Show that $v(600) = 0.025 \times 600$.” …