A particle moves according to the position function: $x(t)=($:${}_2^2,sin(t),$exp$(t)$:$).$ Select all that apply.

The trajectory is confined to a plane.

Its speed at any time $t$ is given by $\sqrt[\phantom{2}]{(2t{)}^2+co{s}^2()+\text{c}\text{i}\text{x}\text{.}}$

$$ Its velocity at $t=0$ is $($:$0,1,1$:$).$

The acceleration can be zero at some time $t.$