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.
1 answer:
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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