Gianna is going to throw a ball from the top floor of her middle school. When she throws the ball from 48feet above the ground,
the function h(t)=−16t2+32t+48 models the height, h, of the ball above the ground as a function of time, t. Find the zero of this function that tells us when the ball will hit the ground.
Given the function that model the height to be h(t)=−16t2+32t+48, the zero of this function can be evaluated equating the function to zero i.e h(t) = 0
0 =−16t2+32t+48
-t²+2t+3 = 0
Multiplying through by minus
t²-2t-3 = 0
Factorising the function to get t;
t²-3t+t-3 = 0
(t²-3t)+1(t-3) = 0
t(t-3)+1(t-3) = 0
(t-3)(t+1) = 0
t-3 = 0 and t+1 = 0
t = 3secs and -1sec
Since the time cannot be negative, the zero of the function is 3seconds which is the time taken by the ball to hit the ground.
bisector. Base. In geometry, the base of a shape is the side (usually the bottom) that forms a right (90 degree) angle with the height of the object. Biannual.
