Answer: t= 13.2 seconds
Step-by-step explanation:
The quadratic function for ball's height in terms of time t is given as
s(t)= -16t² +192t + 256
Now we want to find out the time at which the ball hits the ground.
When the ball hits the ground, the height of the ball will become zero so in the above equation we can put s(t)=0
0= -16t² +192t + 256
or 16t² -192t - 256 = 0
Solving this quadratic equation, we have
t= 13.211 and t= -1.211
Since time can't be negative so
t= 13.2 seconds