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grandymaker [24]
3 years ago
8

If a football player passes a football from 4 feet off the ground with an initial velocity of 36 feet per second, how long will

it take the football to hit the ground? Use the equation h = -16t^2 + 6t +4. Round your answer to the nearest hundredth.
Mathematics
1 answer:
valentinak56 [21]3 years ago
7 0

Answer:

t = 0.722 seconds

Step-by-step explanation:

Given in the question that an equation

h = -16t² + 6t + 4

here h is the height

        t is the time

To solve this question we need to substitute height with zero because at ground level height is zero

<h3>h = 0</h3>

0 = -16t² + 6t + 4

<em>a = -16</em>

<em>b = 6</em>

<em>c = 4</em>

Formula to use

t = -b±√(b²-4ac) / 2a

Plug values in the formula

t = -6 ± √36-4(-16)(4) / 2(-16)

t =  6±2√73 / 32

t =  6+2√73 / 32 or t =  6-2√73 / 32

t = 0.722 or t = -0.347

since time can't be in negative so we reject  t = -0.347

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