t (seconds) 0 10 20 30 | 40 50 | 60 | 70 80 5 14 22 29 | 35 40 44 47 49 v(1) (feet per second) Rocket A has positive velocity v(t) after being launched upward from an initial height of 0 feet at time t = 0 seconds. The velocity of the rocket is recorded for selected values of t over the interval 0
t (seconds) 0 10 20 30 | 40 50 | 60 | 70 80 5 14 22 29 | 35 40 44 47 49 v(1) (feet per second) Rocket A has positive velocity v(t) after being launched upward from an initial height of 0 feet at time t = 0 seconds. The velocity of the rocket is recorded for selected values of t over the interval 0
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:9.
t (seconds)
v(1) (feet per second)
0 10 20 30 || 40 | 50 | 60 | 70 80
5 14 22 29 | 35 40 44 47 49
Rocket A has positive velocity v(t) after being launched upward from an initial
height of 0 feet at time t = 0 seconds. The velocity of the rocket is recorded for
selected values of t over the interval 0<15 80 seconds, as shown in the table
above.
(a) Find the average acceleration of rocket A over the time interval 0<t< 80
seconds. Indicate units of measure.
(b) Using correct units, explain the meaning of ["v(t)dt in terms of the rockets
flight. Use a midpoint Riemann sum with 3 subintervals of equal length to
70
approximate So v(t) dt .
3
feet per
Vt +1
(c) Rocket B is launched upward with an acceleration of a(t) =
second. At time t= 0 seconds, the initial height of the rocket is 0 feet, and the
initial velocity is 2 feet per second. Which of the two rockets is traveling faster
at time t = 80 seconds? Explain your answer.
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