MEC $420$ : Chapter $1-$Sample Problem $1$

At the instant shown in Figure Q$1,$ a basketball player attempts to make a shot by throwing the ball toward the basket at point B$.$ The player aims to achieve the correct trajectory and velocity to ensure the ball follows a parabolic path that successfully reaches the basket.

Given $L=8m,h_A=200cm,h_B=400cm$ and $tan=\frac{4}{3},$ determine

the velocity and elevation above ground at time $t,($i$.$e$.,v(t)$ and $s(t)$ and,

the speed $v_A$ at which the ball must be thrown at $A$ at the angle $$ so that it goes into the basket.

Figure Q$1$