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h(t)=0 when the projectile falls to the ground so -16t²+32t+48=0.

If we divide through by -16 we get t²-2t-3=0=(t-3)(t+1) when factorised.

So either t-3=0 or t+1=0. The only positive solution is t=3 seconds, so it takes 3 seconds to fall to the ground.

by Top Rated User (617k points)

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