Projectile Motion: How far can you throw a rock off a cliff?

A rock is thrown from an initial height of $20$ m above the ground. The

initial speed of the rock is $10$ m$/$s$,$ at an angle $30$ above the horizontal. In

Part A$)$ of this Activity, we found that the vertical and horizontal $30$ components of motion are independent of each other.

$1)$What is the vertical component of the initial velocity? What is the acceleration in the vertical direction? Use a kinematic equation $($for constant acceleration$)$ to find how long it takes the rock to hit the ground.

$$ formula, which has two solutions for the time t$.$ Only one of those solutions makes physical sense. Which one, and why?

$2)$e horizontal component of the initial velocity? What is the acceleration in the horizontal direction? Use a kinematic equation to find out how far the rock goes in the horizontal direction in the time you solved for in $1).$

$10$ m$/$s

$20$m

$3)$ Use kinematic equations to find the final velocity of the rock, in terms of its final speed and angle at which it lands.