18. G Assume that the conditions are as in Problem 16 except that there is a force due to air resistance of magnitude v/1325 directed opposite to the velocity, where the velocity v is measured in m/s. a. Find the maximum height above the ground that the ball reaches. b. Find the time that the ball hits the ground. c. O Plot the graphs of velocity and position versus time. Compare these graphs with the corresponding ones in Problems 16 and 17. Answer

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Please solve number 18 and use number 16 for as a reference thank youu

16. GA ball with mass o.15 kg is thrown upward with initial velocity 20
m/s from the roof of a building 30 m high. Neglect air resistance.
a. Find the maximum height above the ground that the ball
reaches.
b. Assuming that the ball misses the building on the way down,
find the time that it hits the ground.
c. o Plot the graphs of velocity and position versus time.
Answer
16. a. 50.408 m
b. 5.248 s
OSolution
18. G Assume that the conditions are as in Problem 16 except that there is a force
due to air resistance of magnitude v²/1325 directed opposite to the velocity, where the
velocity v is measured in m/s.
a. Find the maximum height above the ground that the ball reaches.
b. Find the time that the ball hits the ground.
c. O Plot the graphs of velocity and position versus time. Compare these
graphs with the corresponding ones in Problems 16 and 17.
Answer
18. a. 48.562 m
b. 5.194 s
Transcribed Image Text:16. GA ball with mass o.15 kg is thrown upward with initial velocity 20 m/s from the roof of a building 30 m high. Neglect air resistance. a. Find the maximum height above the ground that the ball reaches. b. Assuming that the ball misses the building on the way down, find the time that it hits the ground. c. o Plot the graphs of velocity and position versus time. Answer 16. a. 50.408 m b. 5.248 s OSolution 18. G Assume that the conditions are as in Problem 16 except that there is a force due to air resistance of magnitude v²/1325 directed opposite to the velocity, where the velocity v is measured in m/s. a. Find the maximum height above the ground that the ball reaches. b. Find the time that the ball hits the ground. c. O Plot the graphs of velocity and position versus time. Compare these graphs with the corresponding ones in Problems 16 and 17. Answer 18. a. 48.562 m b. 5.194 s
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