The equation $\backslash ($ r$($t$)=\backslash$boldsymbol$\{\backslash$operatorname $\{$ s i n $\}\}(2$ t$)\backslash$mathbf$\{$i$\}+\backslash$boldsymbol$\{\backslash$operatorname $\{$ c o s $\}\}(2$ t$)\backslash$mathbf$\{$j$\},\backslash$mathrm$\{$t$\}\backslash$geq $0\backslash )$ describes the motion of a particle moving along the unit circle. Answer the following questions about the behavior of the particle.

a$.$ Does the particle have constant speed? If so$,$ what is its constant speed?

b$.$ Is the particle's acceleration vector always orthogonal to its velocity vector?

c$.$ Does the particle move clockwise or counterclockwise around the circle?

d$.$ Does the particle begin at the point $\backslash ((1,0)\backslash )?$

a$.$ Select the correct choice below and fill in any answer boxes within your choice

A$.$ The particle's constant speed is

B$.$ The particle's speed is not constant.

b$.$ Is the particle's acceleration vector always orthogonal to its velocity vector?

Yes

No

c$.$ Does the particle move clockwise or counterclockwise around the circle?

Counterclockwise

Clockwise

d$.$ Does the particle begin at the point $\backslash ((1,0)\backslash )?$

No

Yes