A particle moves in a straight line with an initial velocity of 5 m s−15 \text{ m s}^{-1}5 m s−1.
The acceleration a m s−2a \text{ m s}^{-2}a m s−2 of the particle at time ttt seconds is given by
a=6kt2−4kt+2a = 6kt^2 - 4kt + 2a=6kt2−4kt+2
where kkk is a constant.
When t=2t = 2t=2, the velocity of the particle is 13 m s−113 \text{ m s}^{-1}13 m s−1.
Show that k=12k = \frac{1}{2}k=21.
Practise Edexcel A Level Maths Further Kinematics with exam-style questions for A Level Maths. 54 questions covering Vectors in Kinematics, Vector Methods with Projectiles, Variable Acceleration in One Dimension, Differentiating Vectors, and Integrating Vectors, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.