Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
Particle P begins at fixed point O and travels along a straight line. For time t\,\text{s} after leaving O, its velocity v\,\text{m s}^{-1} is given by v = 6t - 0.3t^2. The particle then stops momentarily at X.
(i)[4]
Find the length OX.
(ii)[4]
A second particle Q sets off from rest from O at the same moment as P and also moves in a straight line. The acceleration a\,\text{m s}^{-2} of Q is given by a = k - 12t, where k is a constant. The displacement of Q from O is 400\,\text{m} when t = 10. Find the value of k.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Solve 6t - 0.3t^2 = 0 to get t = 20” …