Need to solve the Diver problem in Physics? Have a TINspire CX ?
Then run Physics Made Easy at https://www.tinspireapps.com/?a=PHYME
Select option : Diver enters Water
Now enter final velocity, the angle the diver makes with water and the height of the dive board.
We are going to find the magnitude of the initial velocity in a backwards way.
First , we find the x and y components of the final velocity using sin and cos.
Next we find vo_y using vf_y , g=9.81 and yo.
Lastly we find the magnitude of the initial velocity using vo_y and
the constant horizontal speed vf_x =vo_x
Voila, diver problem is solved.