How to find vertical comp. of velcocity?

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If, only the initial velocity in x direction is given and the total distance "S" is given for a non horizontal projectile, how do we find the y (vertical) component of initial velocity? No angle given?
 
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If you know the horizontal speed and distance you know the time.
You can then work out how fast an object must be thrown vertically to take this time to go up and land again.