Problem:

A projectile is abot vertically upward with a given initial velocity. It reaches a maximum height of $V_{\text{m}\text{o}\text{x}}=100m$ and expericaces nezligible air resistance for its entire motion in the air. Like what we did in the class, chooce the upward direction as the positive direction for the $y$ axis so all quantities are positive in the upward direction. For the following parts, your objective is to study the kinematies of the projectile.

$($a$)$ Can you set up equations by using the "Big Three" to find the kinematic qunrtities$($position$,$ velocity etc.$)$ in this problem? Why? Note: You don't need to write down equation for this part of the problem.

$($b$)$ What is the magnitude of the projoctile's acoeleration $$ when it is at its maximum height?

$($c$)$ What is the direction of the projectile's acceleration $$ whenit is at its maximum height?

$($d$)$ Find the magnitude of the projectile's initial velocity to;

$($e$)$ How long does it take the projoctile to reach its maximum height from its release position?