Question

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

Answer 1

Answer:

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

b)The maximum height  h(t) = 1600feet

Step-by-step explanation:

Step(i):-

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

Step(ii):-

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