The following table shows the time T, in seconds, it takes for a rock to fall s feet on a certain planet. Distance s 10 20 30 40 50 Time T 0.59 0.87 1.12 1.28 1.43 (a) Find a power model for the data. T= 0.2250.60 T = 0.1550.53 T = 0.17s0.56 OT= 0.1250.50 OT= 0.20,0.58 (b) How long does it take for a rock to fall 60 feet? (Use the model found in part (a). Round your answer to two decimal place 1.31 (c) How far does a rock fall in 2 seconds? (Use the model found in part (a). Round your ansver to tvwo decimal places.) x ft 138.40 (d) What effect does doubling the distance fallen have on the time? (Use the model found in part (a). Round your answer to t Time is multiplied by 17.30 O O O O
The following table shows the time T, in seconds, it takes for a rock to fall s feet on a certain planet. Distance s 10 20 30 40 50 Time T 0.59 0.87 1.12 1.28 1.43 (a) Find a power model for the data. T= 0.2250.60 T = 0.1550.53 T = 0.17s0.56 OT= 0.1250.50 OT= 0.20,0.58 (b) How long does it take for a rock to fall 60 feet? (Use the model found in part (a). Round your answer to two decimal place 1.31 (c) How far does a rock fall in 2 seconds? (Use the model found in part (a). Round your ansver to tvwo decimal places.) x ft 138.40 (d) What effect does doubling the distance fallen have on the time? (Use the model found in part (a). Round your answer to t Time is multiplied by 17.30 O O O O
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 following table shows the time T, in seconds, it takes for a rock to fall s feet on a certain planet.
Distance s
10
20
30
40
50
Time T
0.59
0.87
1.12
1.28
1.43
(a) Find a power model for the data.
T= 0.22,0.60
T = 0.1550.53
T = 0.1750.56
OT= 0.1250.50
OT= 0.2050.58
(b) How long does it take for a rock to fall 60 feet? (Use the model found in part (a). Round your answer to two decimal places.)
1.31
(c) How far does a rock fall in 2 seconds? (Use the model found in part (a). Round your ansver to tvo decimal places.)
138.40
|x ft
(d) What effect does doubling the distance fallen have on the time? (Use the model found in part (a). Round your answer to two decimal places.)
Time is multiplied by 17.30
" O O O
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