How high above the ground was the bird when it was lunched T

How high above the ground was the bird when it was lunched? The bird was feet above the ground when it was launched. After how many seconds does the bird reach its highest point? The bird reaches its highest point after seconds How high is the angry bird at its highest point? The bird is feet above the ground at its highest point After how many seconds does the angry bird hit the ground? The bird will hit the ground seconds after it is launched If the bird is traveling at 16 feet per second. how far does the angry bird travel before it hit the ground? If the bird is traveling at 16 feet per second, it will travel feet before it hits the ground Determine the practical domain of this function. Write your answer in Interval Notation Practical Domain:

Solution

h(t) = -0.16t^2 +1.1t +12

a) At the time of launch i.e. t=0 sec , height of angry bird.Plug t=0

h(0) = 12 feet

b) For a quadratice functin maximum point is ate vertex of the equation: f(x) = ax^2 +bx +c

vertex is given at x= -b/2a

So, h(t) = -0.16t^2 +1.1t +12

Maximum height at t= -b/2a = -1.1/(-2*0.16) = 3.4375 seconds