A particle moves along a straight line. Its velocity at time t t\,t seconds is v=5cos(πt2) m s−1\displaystyle v=5\cos\left(\frac{\pi t}{2}\right)\text{ m s}^{-1}v=5cos(2πt) m s−1, where 0≤t≤30\leq t\leq30≤t≤3. The particle starts at the origin.
Find the times at which the particle is instantaneously at rest.
Find the total distance travelled in the first 3 seconds, giving your answer in terms of π\piπ.
61 exam-style questions on CCEA A Level Maths 4.1.1 Kinematics (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.