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## Homework Statement

Hi everyone ,, yesterday I had an exam with the following question :

A ball is vertically thrown from a height (h) then it collide with the ground and went to height (5+h), the whole time of the projectile is 2 seconds .

(a) Find the initial velocity and the time it took until it reached the ground.

(b) Find (h) and the velocity before hitting the ground

## Homework Equations

## The Attempt at a Solution

The question was really hard ,, I didn't really know how to solve it .. I applied the following :

t1+t2=2 ,, and t1 (the time until it reached the ground) and t2(the time until it reached the height (h+5) , the equation of t1 (h=Vot1+0.5*g*t1^2) and for t2 (5-h=(V+gt1)t2-0.5*g*t2^2) and I combined them together and got V=7.5 m/s .. is it right ?? .. is the attempt to solve is even right ??