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
Equating zero
⇒ -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
The maximum height at t=0
h(t) = -16 t² + 1600
h(t) = 1600feet