A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of $22f\frac{t}{s}.$ Its height in feet after $t$ seconds is given by $y=22t-16t^2.$

A$.$ Find the average velocity for the time period beginning when $t=2$ and lasting

$\mathrm{.}01s$:

$\mathrm{.}005$ s:

$\mathrm{.}002$ s:

$$

$$

$\mathrm{.}001s$:

NOTE: For the above answers, you may have to enter $6$ or $7$ significant digits if you are using a calculator.

Estimate the instanteneous velocity when $t=2.$

For each of the following cases, indicate $($a$)$ what interest rate columns and $($b$)$ what number of periods you would refer to in looking up the discount rate. $($Round percentages to $1$ decimal place, eg$.15\mathrm{.}1\%.)$

$(1)$ In Table $3($future value of $1)$:

$\backslash$table$[[,$Annual Rate,$\backslash$table$[[$Number of$],[$Years Involved$]],\backslash$table$[[$Discounts$],[$per Year$]]],[$Case A$,11\%,,$Annually$],[$Case B$,10\%,11,$Semianually$],[,8\%,8,$Semiannuall$]]$

For each of the following cases, indicate $($a$)$ what interest rate columns and $($b$)$ what number of periods you would refer to in looking up the discount rate. $($Round percentages to $1$ decimal place, eg$.15\mathrm{.}1\%.)$

$(1)$ In Table $3($future value of $1)$:

$\backslash$table$[[,$Annual Rate,$\backslash$table$[[$Number of$],[$Years Involved$]],\backslash$table$[[$Discounts$],[$per Year$]]],[$Case A$,11\%,,$Annually$],[$Case B$,10\%,11,$Semianually$],[,8\%,8,$Semiannuall$]]$