Projectile Motion Ball Drop: Solving for Initial Velocity with Given Angles

[Oblivion77]

Homework Statement

A Ball is dropped onto a step at point A and rebounds with a velocity Vo at an angle 15 degrees with the vertical. Determine the value of V₀ knowing that just before the ball bounces at Point B its velocity V_B forms an angle of 12 degrees with the vertical.

Homework Equations

X = Vt
Y = Vt - 0.5gt²

The Attempt at a Solution

X = (VoSin15)t
Y = (VoCos15)t -0.5gt²

I am not sure how to make use of the other information provided.

 

[lewando]

The most relevant equation:

Vy(t)^2 = Vy0^2 + 2g (y(t) - y0)

because we need to use the 0.2m y-displacement.

Also noteworthy:
Vx0 = V0 sin(15)
VxT = VT sin(12)
Vx0 = VxT