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1) By throwing a ball at an angle of 45 degree, a girl can throw it a maximum horizontal distance of R= 33 m on a level field. How high can she throw the same ball vertically upward? Assume that her muscles give the ball the same speed in each case.

This is what I have done so far, and I do not wheter I did my work right or not.

displacement x= 33 m, t=?, Vi= ?

33/(Vi*(cos(45)))=t

Then I substitute t in y=Vi(33/(Vi*(cos(45)))+(-4.9)(33/(Vi*(cos(45)))^2, and I got t=8.87 sec. And I am stuck.

Thanks for your help