The height of a ball dropped from the roof of a building can be found by using the model h(t) = −16t2 + 400, where h(t) is the height of the ball in feet t seconds after being dropped.
The height of a ball dropped from the roof of a building can be found by using the model h(t) = −16t2 + 400, where h(t) is the height of the ball in feet t seconds after being dropped.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
The height of a ball dropped from the roof of a building can be found by using the model
h(t) = −16t2 + 400,
where
h(t)
is the height of the ball in feet t seconds after being dropped.(a)
Find
h(2).
h(2) =
Explain the meaning of
h(2).
It is the 2 .
(b)
Sketch a graph of this model.
(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:
(−∞, 400]
[0, 5]
[0, ∞)
[−5, ∞)
[0, 400]
Range:
(−∞, 400]
[0, 5]
[0, ∞)
[−5, ∞)
[0, 400]
Transcribed Image Text:(b) Sketch a graph of this model.
h (t)
h(t)
h(t)
h(t)
500
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1.
3.
4.
7
1234 5 6
12 3 4 S 6 7
1.
2.
3.
4
O-30
@0-50
DO-50
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