Aprojectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = - 16t^2 + 576t. after how many seconds does the projectile take to reach its maximum height? show your work for full credit.

22. the top of a cliff is located a distance h above the ground. at a distance h/2 there is a branch that juts out from the side of the cliff, and on this branch a bird's nest is located. two children throw stones at the nest with the same initial speed, one stone straight downward from the top of the cliff and the other stone straight upward from the ground. in the absence of air resistance, which stone hits the nest in the least amount of time?