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3 years ago

The equation h=-16t^2 , HELP! ID APPRECIATE IT!

Mathematics

1 answer:

nikdorinn [45]3 years ago

6 0

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

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