Hel IB Task #2
Suppose a projectile is launched from a tower into the air with an initial velocity of 48 feet per second. Its height, H, in feet, above the ground is modeled by the function

H=-16T^2+VoT+64
where T is the time, in second, since the projectile was launched and Vo is the initial velocity.

A. Write a function that can be used to describe the flight of the rocket.

B. Graph the equation using Desmos Graphing Calculator. (Adjust the window appropriately.)

C. Describe the movement of the projectile. Make sure to include the following information.

- Initial Height

- Maximum Height and the time it reached the height

- Time it hit the ground

- Appropriate Domain

What is the multiple zero and multiplicity of f(x) = (x ? 3)(x ? 3)(x + 5)? multiple zero is 3; multiplicity is 2 multiple zero is 5; multiplicity is 1 multiple zero is ? 5; multiplicity is 1 multiple zero is ? 3; multiplicity is 2

For what value of (y) is 3^3/3^y =1/9

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a.what is the independent and dependent variables? b.find the amplitude and the period of the function. c.create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.