How much initial velocity is necessary to hit the ball over a 10 foot fence d[xfar] feet from home plate? Assuming the simplest model for projectile motion (no wind resistance), parametric equations for the position of the ball are given by
Input :=
horiz[t_] = Vx0 t;
vert[t_] = -16 t^2 + Vy0 t + h0;
We know that
Input :=
Vx0 = V0 Cos[theta];
Vy0 = V0 Sin[theta];
We ( reasonably ) assumed
Input :=
h0 = 3;
And we are told to work with theta = 25 degrees, or
Input :=
theta = 25 Pi/180;