Part I A ball is thrown straight up from the top of a building that is...

Part I

A ball is thrown straight up from the top of a building that is 185ft high with an initial velocity of 64ft/s. The height of the object can be modeled by the equation s(t) = -16t ² + 64t + 185.
In two or more complete sentences explain how to determine the time(s) the ball is higher than the building in interval notation.

Part II

In two or more complete sentences, describe the transformation(s) that take place on the parent function, f(x) = log(x), to achieve the graph of g(x) = log(-3x-6) - 2.

Part III

The parent function f(x) = log₄x has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of two and shifting it down five units. Which function is representative of this transformation?

A. g(x ) = log₄(2x) - 5

B. g(x) = log₄(-2x) + 5

C. g(x) = 2log₄(x) + 5

D. g(x) = -2log₄(x) - 5

Expert Solution

Colby Messinger answered 2 hours ago

A ball is thrown straight up from the edge of the roof of a building. A...

A ball is thrown straight up from the edge of the roof of a building. A second ball is dropped from the roof a time of 1.20 s later. You may ignore air resistance. A) If the height of the building is 20.7 m , what must the initial speed be of the first ball if both are to hit the ground at the same time? B) Consider the same situation, but now let the initial speed v0 of the...

a ball was thrown straight upward from the top of a building 120 ft high at...

a ball was thrown straight upward from the top of a building 120 ft high at a rate of 24 ft/s. answer the following questions (acceleration is -32 ft/s^2 ) a. at what time t does the ball reach its maximum height? b. what is the velocity of the ball at 3 seconds? c. how long does it take for the ball to hit the ground? d. what is the velocity of the ball when it hits the ground?

A ball is thrown from the top of a building at an angle of 30degrees above...

A ball is thrown from the top of a building at an angle of 30degrees above the horizontal and with an initial speed of 20m/s. if the ball is in flight for 4seconds A) how tall is the building? b)what horizontal distance does the ball travel? c) what maximum height does the ball reach? d)with what speed and angle of impact does the ball land?

a Ball is thrown upward from the top of a 23.5 m building with a speed...

a Ball is thrown upward from the top of a 23.5 m building with a speed of 12.4 m/s. ignore air resistance A) draw and label a figure with a coordinate system showing the balls initial position and initial velocity. B) write down the proper equations of motion and replace all known initial conditions and constant values with their appropriate numerical values to find the following C)to what maximum height above the ground will the ball rise? D) how much...

A ball is thrown vertically downward from the top of a 33.0-m-tall building. The ball passes...

A ball is thrown vertically downward from the top of a 33.0-m-tall building. The ball passes the top of a window that is 10.8 m above the ground 2.00 s after being thrown. What is the speed of the ball as it passes the top of the window?

A 700 gram ball is thrown from the top of a 25 meter tall building. The...

A 700 gram ball is thrown from the top of a 25 meter tall building. The ball is thrown with an initial speed of 10 m/s at an angle 30 degrees above the horizontal. For our conservation of energy calculations, we will choose the Ball + Earth as our system and use the ground as h = 0. The kinetic energy of the ball when it is thrown = J. When the ball reaches its highest point the kinetic energy is...

A ball is thrown vertically upward from the top of a building 112 feet tall with...

A ball is thrown vertically upward from the top of a building 112 feet tall with an initial velocity of 96 feet per second. The distance s  (in feet) of the ball from the ground after t seconds is s (t) = 112 + 96t - 16t2 Complete the table and discuss the interpretation of each point. t s(t) Interpretation 0 0.5 1 2 100 100 200 200 Answer these questions. After how many seconds does the ball strike the...

A 2.00 kg ball is thrown straight upward from the top of a 50.0 m high...

A 2.00 kg ball is thrown straight upward from the top of a 50.0 m high building with an initial speed of 10.0 m/s. Given: a. What is the total energy at the top of the building? b. What is the total energy at the ground? c. What are the potential and kinetic energies at the ground? d. What is its speed at the ground?

1. A 2.00 kg ball is thrown straight upward from the top of a 50.0 m...

1. A 2.00 kg ball is thrown straight upward from the top of a 50.0 m high building with an initial speed of 10.0 m/s. (25 points) Given: (1 point) a. What is the total energy at the top of the building? (6 points) b. What is the total energy at the ground? (6 points) c. What are the potential and kinetic energies at the ground? (6 points) d. What is its speed at the...

5. A stone is thrown up from the top of the architectural building of the Polytechnic...

5. A stone is thrown up from the top of the architectural building of the Polytechnic University, at an angle of 30.0 ° with the horizontal, and with an initial speed of 20.0 m / s, as shown in the figure. The height of the building is 45.0 meters. a) How long does the stone take to reach the ground? B) What is the rapidity of the stone just before hitting the ground? c) Is it correct that the component...

Question