a ball falls from the top of a tall building. it is pulled downward by gravity but the acceleration is not constant because as it falls faster the air resistance increases. The velocity of the ball at various times is given below 3 5 0 Time (Seconds) Velocity m/s 0 2 19 5 B) Use a RRAP4 to estimate v(t)dt? 45 A) What are the units and meaning of f¹² v(t)dt? C) Estimate the average velocity of the ball during the 12 seconds. 7 56 D) Estimate the average acceleration of the ball in the first 12 seconds. 12 78

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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a ball falls from the top of a tall building. it is pulled downward by gravity but the acceleration is not
constant because as it falls faster the air resistance increases. The velocity of the ball at various
times is given below
3
5
0
Time
(Seconds)
Velocity m/s 0
2
19
5
B) Use a RRAP4 to estimate v(t)dt?
45
A) What are the units and meaning of f¹² v(t)dt?
C) Estimate the average velocity of the ball during the 12 seconds.
7
56
D) Estimate the average acceleration of the ball in the first 12 seconds.
12
78
Transcribed Image Text:a ball falls from the top of a tall building. it is pulled downward by gravity but the acceleration is not constant because as it falls faster the air resistance increases. The velocity of the ball at various times is given below 3 5 0 Time (Seconds) Velocity m/s 0 2 19 5 B) Use a RRAP4 to estimate v(t)dt? 45 A) What are the units and meaning of f¹² v(t)dt? C) Estimate the average velocity of the ball during the 12 seconds. 7 56 D) Estimate the average acceleration of the ball in the first 12 seconds. 12 78
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