Fred is standing on top of a building. He throws a ball up in the air so that it falls down to the ground. The height (ft) of the baseball given time t (sec) after it is thrown is modeled by the function h(t) = -16t^2 + 32t + 225. A) Evaluate h(3) and explain what it means in the context of the problem.
B) What is the maximum height the ball achieves? How long does it take to reach this height?
C) To the nearest 100th of a second, how long does it take for the baseball to reach the ground?
D) How tall is the building?
E) David is looking out a window on the fourth floor which is 120 ft off the ground. How long after Fred throws the ball does David see the ball pass by?

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb

24+x=y

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.