Study the kinematies of a ball of mass $M,$ which moves on a parabolic path presented as $Y=m*x0\mathrm{.}5$ in vertical plane. The coordinates and other paranseters are given in Fig, $2.$

The ball releases from rest at poin $P$ located an a horizontal distance of $L(m)$ from the ongin $O,$ and accelerates along the path $($trajoctory$)$

Consider the ball as a particle,

M$($kg$)=1\mathrm{.}62,$ m $=3\mathrm{.}2$ and L$($m$)=52$

$1.$

Determine expressions for the tangent $($tan$((0),$ ridius of curvature $()),$ tangential velocity $($V$),$ acceleration $($a$)$ and Normal reaction $($N$)$ of ball to the parabolic surface when the ball reaches point A which is loeated at coordinates $(x,y),$ using general notations, i$.$e$.,p,x,y$ and $g($Gravitational acceleration$)$

$2.$

Draw graphs for tangential velocity $($V$),$ acceleration $($a$)$ and normal reaction $($N$)$ of ball to the parabolic surface for the range of position A: $5mx$

Figure $2$