A tiny frog stands at distance L$=2[$m$]$ away from a tree stump with height h$=0\mathrm{.}5[$m$].$

The frog wants to jump on the top of the stump in such a way that its vertical velocity component is zero when it reaches the top of the stump.

$($a$)(10$ points$)$ What should be the initial vertical component of velocity viy to make such a jump?

$($b$)(5$ points$)$ Find the time tf which the frog will spend in the flight?

$($c$)(5$ points$)$ What should be the horizontal component of the frog velocity?

$($d$)(5$ points$)$ What is the initial speed of the frog?