Exercise $2$

A particle oscillates about $x=0$ on the $x-as$ and its displacement is given by:

$x=(4m)cos(+\frac{}{4})$

where $t$ is measured in seconds. Find:

a$)$ amplitude, frequency and period,

b$)$ velocity and acceleration at $t=1s,$

c$)$ the value of the maximum velocity and acceleration,

d$)$ the displacements between $t=0$ and $t=1$ s and

e$)$ the phase at $t=2s$ of the particle.