Problem $1$ Phasors and Time Shift

$10$ pts

$V(t)=8sin(2000t),V$

a$)$ Find the phoser vec$(v)$

b$)$ Find $i(t)$

c$)$ Sketch $v(t)$ and $i(t)$ on the sane time axis.

d$)$ How many seconds are i and $v$ out of phose?