$5.($TM $2-14$; $5$ pts total$)$ A projectile is fired with initial speed v$0$ at an elevation angle of

up a hill of whose slope makes an angle with horizontal $($ $$ $).$

$($a$)(2$ pts$)$ How far up the hill will the projectile land?

$($b$)(2$ pts$)$ At what angle will the range be a maximum?

$($c$)(1$ pt$)$ What is that maximum range?

$1$ of $1$