Question

The height of a ball dropped from the roof of a building can be found by using the model
h(t) = −16t2 + 256,
where
h(t)
is the height of the ball in feet t seconds after being dropped.
(a)
Find
h(3).
h(3) =
Explain the meaning of
h(3).
It is the
---Select---
3
---Select---
.
(b)
Sketch a graph of this model.

On the coordinate plane the horizontal axis is labeled t and the vertical axis is labeled h(t). The curve enters the window at h(t) = 256 on the positive h(t) axis, goes down and right becoming more steep, crosses the t-axis at t = 4, and exits the window in the fourth quadrant.
On the coordinate plane the horizontal axis is labeled t and the vertical axis is labeled h(t). The curve enters the window at h(t) = 290 on the positive h(t) axis, goes down and right becoming more steep, crosses the t-axis at approximately t = 3.37, and exits the window in the fourth quadrant.
On the coordinate plane the horizontal axis is labeled t and the vertical axis is labeled h(t). The curve enters the window at h(t) = 206 on the positive h(t) axis, goes down and right becoming more steep, crosses the t-axis at approximately t = 3.59, and exits the window in the fourth quadrant.
On the coordinate plane the horizontal axis is labeled t and the vertical axis is labeled h(t). The curve enters the window at h(t) = 192 on the positive h(t) axis, goes up and right becoming less steep, changes direction at the point (2, 256), goes down and right becoming more steep, crosses the t-axis at t = 6, and exits the window in the fourth quadrant.
(c)
Use your graph to estimate when the ball will hit the ground. (Include units in your answer. More information.)
The ball will hit the ground
after being dropped.
(d)
Give a reasonable domain and range for this model. (Hint: This model will not work after the ball hits the ground.)
Domain:

[0, 4]

[−4, ∞)


[0, 256]

(−∞, 256]

[0, ∞)
Range:

[0, 4]

[−4, ∞)


[0, 256]

(−∞, 256]

[0, ∞)

Answer 1

Answer:

a multiplayer video game played competitively for spectators, typically by professional gamers.

Step-by-step explanation:

a multiplayer video game played competitively for spectators, typically by professional gamers.