Answer:
A) The fish was out of water for 0.6875 seconds.
B) Maximum height = 5.672
Step-by-step explanation:
Height is modeled by;
y = -16t² + 11t
A) To find total time of the fish out of water, we need to find the x - intercept. That is the points where y = 0
So, 0 = -16t² + 11t
So the roots of this equation are;
t = 0 or 0.6875
Thus,the fish was out of water for 0.6875 seconds.
B) y = -16t² + 11t
The x coordinate of the vertex is at - b/2a
For y = -16t² + 11t
a = -16, b = 11, c = 0
So, -b/2a = -11/(2*-16) = 11/32
The maximum height will be at the y-coordinate of the vertex.
Thus, we need to find f(11/32)
f(11/32) = -16(11/32)² + 11(11/32) = 1.890625 + 3.78125 = 5.671875 ≈ 5.672
