Aball is thrown into the air by a baby alien on a planet in the system of alpha centauri with a velocity of 27 ft/s. its height in feet after t seconds is given by y = 27 t − 20 t 2 y=27t-20t2. a. find the average velocity for the time period beginning when t=3 and lasting .01 s: preview .005 s: preview .002 s: preview .001 s: preview 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=3. preview get : video

Explanation:

To calculate average velocity we need the position for both instants t0 and t1.

Now we will proceed to calculate all the positions we need:

Replacing these values into the formula for average velocity:

To know the actual velocity, we derive the position and we get:

see earlier answer

so here is the information for current research:

-nrel's geothermal analysts, scientists, and engineers perform a full range of research from developing advanced methods of locating and accessing geothermal resources to exploring innovative technologies to extract and produce clean energy from the heat of the earth

and here is the information for the technology of geothermal energy:

-it's clean and sustainable

-resources of geothermal energy range from the shallow ground to hot water and hot rock found a few miles beneath the earth's surface, and down even deeper to the extremely high temperatures of molten rock called magma

-almost everywhere, the shallow ground or upper 10 feet of the earth's surface maintains a nearly constant temperature between 50° and 60°f (10° and 16°c)

-geothermal heat pumps can tap into this resource to heat and cool buildings

-a geothermal heat pump system consists of a heat pump, an air delivery system (ductwork), and a heat exchanger-a system of pipes buried in the shallow ground near the building

-in the winter, the heat pump removes heat from the heat exchanger and pumps it into the indoor air delivery system

-in the summer, the process is reversed, and the heat pump moves heat from the indoor air into the heat exchanger

-the heat removed from the indoor air during the summer can also be used to provide a free source of hot water