IB Mathematics Analysis and Approaches SL 5.9—kinematics Problems Questionbank

A particle moves in a straight line with velocity $v(t)=3 \cos \left(\frac{\pi}{2} t\right)$, for $0 \leq t \leq 4$, where velocity is in metres per second and time is in seconds.

All distances are in metres and time is in seconds. A particle moves along a straight line with acceleration given by $a(t)=6 \cos \left(\frac{\pi}{4} t\right)-\frac{2}{(t+1)^{2}}$, for . The particle starts from rest at the origin at . At time , where , the particle's velocity is zero.

In this question, all lengths are in metres and time is in seconds. A particle moves in a straight line with velocity $v(t)=t^{2}-5 t+6$, for . The particle is at the origin at .

In this question, all lengths are in metres and time is in seconds. A particle moves in a straight line such that its displacement from a fixed point is given by $s(t)=5 t-\frac{1}{3} t^{3}$, for .

A particle moves along a straight line with velocity $v(t)=2 t^{2}-8 t+6$, for , where velocity is in metres per second and time is in seconds. The particle is at the origin at .