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Dennis_Churaev [7]
3 years ago
8

The height, h, in feet of a rock above the ground is given by the equation h = -16t^2 + 24t + 16, where t is the time in seconds

after the rock is thrown. At what time does the rock hit the ground?
Please show all work and not just the answer.
Mathematics
1 answer:
boyakko [2]3 years ago
8 0

The rock will hit the ground at 2 seconds.

Explanation:

Given that the height, h, in feet of a rock above the ground is given by the equation h=-16t^2+24t+16, where t is the time in seconds after the rock is thrown.

We need to determine the time at which the rock will hit the ground.

To determine the time, let us equate the height h = 0 in the equation h=-16t^2+24t+16, we get,

0=-16t^2+24t+16

Switch sides, we have,

-16 t^{2}+24 t+16=0

Let us solve the equation using the quadratic formula.

Thus, we have,

t=\frac{-24 \pm \sqrt{24^{2}-4(-16) 16}}{2(-16)}

Simplifying, we get,

t=\frac{-24 \pm \sqrt{576+1024}}{-32}

t=\frac{-24 \pm \sqrt{1600}}{-32}

t=\frac{-24 \pm 40}{-32}

Hence, the two values of t are

t=\frac{-24 + 40}{-32}   and   t=\frac{-24 -40}{-32}

Simplifying the values, we get,

t=\frac{16}{-32}  and  t=\frac{-64}{-32}

Dividing, we get,

t=-\frac{1}{2}  and  t=2

Since, t cannot negative values, we have,

t=2

Thus, the rock will hit the ground at 2 seconds.

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Because we know from the first equation
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Now we do the same thing to find f
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1 year ago
Pleaseeee help ASAP it’s due today :(
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Let, price increased by x times.

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To finding critical point :

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So, revenue is maximum at x = 20 .

Putting x = 20 in equation 1) , we get :

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Therefore, park should charge $( 40 + 20 ) = $60 for maximising the revenue and maximum revenue is  $10,80,000  .

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