The situation: A missile is shot upward from a submarine 1280 feet below sea level. A function approximates the height of the missile (relative to sea level) is given by that h(t) = -16t² +672t - 1280 where h is the height in feet and t is the time in seconds. € Height h(1) 0 -1280 ft Timer (sec) Your tasks: 1. Fill in the following table of values to determine the height of the missile at different times: Time t in seconds Height h(t) in feet 0 1 3 10 20 30 42 2. When the value of h(t) is negative, what does that mean about the missile and the ocean? 3. Factor the function (factor out the -16 first!). 4. Set the factored function equal to zero and find the time required for the missile to emerge from the water and the time required to re-enter the water (i.e. zero height). Be sure to say which value answers which question (emerging or re-entering) and include the units for time.
The situation: A missile is shot upward from a submarine 1280 feet below sea level. A function approximates the height of the missile (relative to sea level) is given by that h(t) = -16t² +672t - 1280 where h is the height in feet and t is the time in seconds. € Height h(1) 0 -1280 ft Timer (sec) Your tasks: 1. Fill in the following table of values to determine the height of the missile at different times: Time t in seconds Height h(t) in feet 0 1 3 10 20 30 42 2. When the value of h(t) is negative, what does that mean about the missile and the ocean? 3. Factor the function (factor out the -16 first!). 4. Set the factored function equal to zero and find the time required for the missile to emerge from the water and the time required to re-enter the water (i.e. zero height). Be sure to say which value answers which question (emerging or re-entering) and include the units for time.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The situation: A missile is shot upward from a submarine 1280 feet below sea level. A function
that approximates the height of the missile (relative to sea level) is given by
h(t) = 16t² +672t - 1280
where h is the height in feet and t is the time in seconds.
Height h
0
-1280 ft
Timer (sec)
Your tasks:
1. Fill in the following table of values to determine the height of the missile at different
times:
Time t in seconds Height h(t) in feet
0
1
3
10
20
30
42
2. When the value of h(t) is negative, what does that mean about the missile and the
ocean?
3. Factor the function (factor out the -16 first!).
4. Set the factored function equal to zero and find the time required for the missile to
emerge from the water and the time required to re-enter the water (i.e. zero height).
Be sure to say which value answers which question (emerging or re-entering) and
include the units for time.
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