Please Use Different Quotient Method. Do Not use Deriviative. A ship that is docked in a harbor rises and falls with the waves. The function $h(t)=sin(\frac{}{5}t)$ models the vertical movement of the ship, $h$ in meters, at $t$ seconds.

a$)$ Determine the average rate of change in the height of the ship over the first $5$ seconds. Why does your solution make sense?

$h(0)=sin(\frac{}{5}*0)=0,h(5)=sin(\frac{}{5}*5)=0$

$\frac{h(5)-h(0)}{5-0}$

use the formula for the avense rate of clange to find the averase rote of chanje of the heisht of the ship over $=\frac{0-0}{5-0}=0,$ the first $5$ seconds.

b$)$ Estimate the instantaneous rate of change in the height of the ship at $t=6s.$

use different Quationt mestrod.

$-0\mathrm{.}5\frac{m}{s}$

po not use deriviafive

Ansueri $-0\mathrm{.}5\frac{m}{s}$

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