Answer:
37.52 feet
Step-by-step explanation:
Given in the question the equation
h = -16t² + 47t + 3
where h is height in feet
t is time in minutes
a = -16
b = 47
c = 3
To find the maximum height of the football
- If a, the coefficient of the x² term, is positive, then the parabola opens upward. If a is negative, then the parabola opens downward. In this case it is -16 which is negative so it open downward.
- The value of -b/2a tells you the x value of the vertex of the curve at which it is maximum
- Plug this value in the equation to find h, maximum height.
t = -b / 2a
= -47 / 2(-16)
= 1.47 sec
h = -16(1.47)² + 47(1.47) + 3
= 37.52 feet
