(No Technology) The velocity of a speed boat in ft/sec at selected times is given in the table. t v(t) 5 0308 0 10 15 20 25 30 100 140 200 250 a. Estimate the acceleration of the boat at time t = 15 sec. Use correct units. (. b. Use a right Riemann sum with 3 equal subdivisions to approximate 25 vt)dt. 10 25 80 Using correct units, explain the meaning of the integral in the context of this problem. ( 10 c. Evaluate v'(t)dt . Using correct units, explain the meaning of the integral in the context of this problem. ( " d. Estimate the average velocity of the boat over the 30-second period of time using a idpoint Riemann sum with 3 equal subdivisions. <
(No Technology) The velocity of a speed boat in ft/sec at selected times is given in the table. t v(t) 5 0308 0 10 15 20 25 30 100 140 200 250 a. Estimate the acceleration of the boat at time t = 15 sec. Use correct units. (. b. Use a right Riemann sum with 3 equal subdivisions to approximate 25 vt)dt. 10 25 80 Using correct units, explain the meaning of the integral in the context of this problem. ( 10 c. Evaluate v'(t)dt . Using correct units, explain the meaning of the integral in the context of this problem. ( " d. Estimate the average velocity of the boat over the 30-second period of time using a idpoint Riemann sum with 3 equal subdivisions. <
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:(No Technology) The velocity of a speed boat
in ft/sec at selected times is given in the
table.
t
0 5
v(t) 0 30 80
10 15 20 25 30
100 140 200 250
a. Estimate the acceleration of the boat at
time t = 15 sec. Use correct units. (___
b. Use a right Riemann sum with 3 equal
25
subdivisions to approximate z v(t)dt.
10
Using correct units, explain the meaning of
the integral in the context of this problem.
c. Evaluate
25
² v' (t)dt. Using correct units,
10
explain the meaning of the integral in the
context of this problem. (
d. Estimate the average velocity of the boat
over the 30-second period of time using a
Eidpoint Riemann sum with 3 equal
subdivisions."
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