$2$ & $3$ please.

Shown below is a barrel cam driving an axial follower. As the cam turns it creates the followe displacement $s(t)=\frac{a}{2}(1-sin(\frac{t}{2}))$ where $t$ is time in seconds and $a$ is a constant equal to $10$ mt

$\frac{16}{2}=5$

For $=8ra\frac{d}{s},$ the follower position at $t=3s$ is best given by

a$.7\mathrm{.}68$ mm

b$.4\mathrm{.}63$ mm

c$.2\mathrm{.}32$ mm

d$.15\mathrm{.}4$ mm

For $=8ra\frac{d}{s},$ and $t=3s,$ the follower velocity is best given as

a$.-4\mathrm{.}22m\frac{m}{s}$

b$.-33\mathrm{.}8m\frac{m}{s}$

c$.10\mathrm{.}7m\frac{m}{s}$

$($d$.)-16\mathrm{.}9m\frac{m}{s}$

For $=8ra\frac{d}{s},$ and $t=3s$ the follower acceleration is best given as

a$.-171m\frac{m}{s^2}$

b$.-2\mathrm{.}68m\frac{m}{s^2}$

c$.-42\mathrm{.}9m\frac{m}{s^2}$

d$.-85\mathrm{.}9m\frac{m}{s^2}$