my little nephew shoots a ping-pong ball up into the air with a sping-loaded toy

Question

my little nephew shoots a ping-pong ball up into the air with a sping-loaded toy gun. it rises to a maximum height y1 before falling down, then he tilts it so that it is 60 degrees above the horizontal direction, and shoots it again, assume the ball exists the toy at the same speed in both cases, and that we ignore air resistance, what is the ratio Y2/Y1 what if again shoot the same ping pong ball at an angle of 60 degrees, but now I increase the compression of the spring by 50%. What does my answer to part a get multiplied by?

Explanation / Answer

y2/y1=ratio of upward vel=sin60=0.866 when compression is doubled, KE is doubled, hence velocity increases sqrt(2) times so new y2/y1=1.224 :)

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