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Art [367]
3 years ago
9

While hovering near the top of Ribbon Falls in Yosemite National Park at 1600 feet, a

Mathematics
1 answer:
ella [17]3 years ago
4 0

Answer:

a)The sunglasses hit the ground at t=0 seconds

b)The maximum height  h(t) = 1600feet

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the polynomial function

                     h(t) = -16 t² + 1600 ...(i)

Differentiating equation (i) with respective to 't' , we get

              \frac{dh}{dt} = -16(2t)+0

Equating zero

             \frac{dh}{dt} = 0

       ⇒ -32t =0

      ⇒   t =0

The sunglasses hit the ground at t=0 seconds

<u><em>Step(ii):-</em></u>

Again differentiating with respective to 't', we get

\frac{d^{2} h}{dt^{2} } = -32(1) = -32

The maximum height at t=0

 h(t) = -16 t² + 1600

 h(t) = 1600feet

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