+9 a ball was kicked into the air from a balcony 20 feet above the ground, and the ball height above the gournd in feet t seconds after the ball was kicked is h(t) = 20 - 16t^2 + 32t. what was the maximum , in feet, of the ball above the ground after it was kicked?
+118658 Hi helpmeout :))
all was kicked into the air from a balcony 20 feet above the ground, and the ball height above the gournd in feet t seconds after the ball was kicked is h(t) = 20 - 16t^2 + 32t. what was the maximum , in feet, of the ball above the ground after it was kicked?
\(h(t) = 20 - 16t^2 + 32t\\ h'(t) = -32t+32\\ h'(t) = 0 \;\;when\;\; -32t+32=0\quad i.e. \;\;when \;\;\;t=1\\ h(1)=20-16+32=36 \)
The ball will reach a height of 36 feet.
