If a cannonball is fired with a muzzle velocity of 320 feet per second, it will follow the path of the graph of the function below. h = x - 32 320 Here, distances are measured in feet. (a) Plot the graph of the flight of the cannonball. 1400 1400 1200 1200 1000 1000 800 800 600 600 400 400 200 200 500 1000 1500 2000 2500 3000 3500 500 1000 1500 2000 2500 3000 3500 1400 1400 1200 1200 1000 1000 800 800 600 600 400 400 200 200 500 1000 1500 2000 2500 3000 3500 500 1000 1500 2000 2500 3000 3500 (b) Find the height of the cannonball 1700 feet downrange. (Round your answer to two decimal places.) 796.875 ft (c) By looking at the graph of h, determine whether dh is positive or negative at 1700 feet downrange. positive negative

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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Calculate

dh
dx
at 1700 feet downrange. (Round your answer to two decimal places.)
 
dh
dx
=

Explain what this number means in practical terms. (Round your answer to two decimal places.)

When the cannonball travels one horizontal foot downrange from x = 1700 we expect it to____       foot.
If a cannonball is fired with a muzzle velocity of 320 feet per second, it will follow the path of the graph of the function below.
h = x - 32
320
Here, distances are measured in feet.
(a) Plot the graph of the flight of the cannonball.
1400
1400
1200
1200
1000
1000
800
800
600
600
400
400
200
200
500 1000 1500 2000 2500 3000 3500
500 1000 1500 2000 2500 3000 3500
1400
1400
1200
1200
1000
1000
800
800
h
600
600
400
400
200
200
500 1000 1500 2000 2500 3000 3500
500 1000 1500 2000 2500 3000 3500
(b) Find the height of the cannonball 1700 feet downrange. (Round your answer to two decimal places.)
796.875
ft
(c) By looking at the graph of h, determine whether
dh
is positive or negative at 1700 feet downrange.
positive
negative
Transcribed Image Text:If a cannonball is fired with a muzzle velocity of 320 feet per second, it will follow the path of the graph of the function below. h = x - 32 320 Here, distances are measured in feet. (a) Plot the graph of the flight of the cannonball. 1400 1400 1200 1200 1000 1000 800 800 600 600 400 400 200 200 500 1000 1500 2000 2500 3000 3500 500 1000 1500 2000 2500 3000 3500 1400 1400 1200 1200 1000 1000 800 800 h 600 600 400 400 200 200 500 1000 1500 2000 2500 3000 3500 500 1000 1500 2000 2500 3000 3500 (b) Find the height of the cannonball 1700 feet downrange. (Round your answer to two decimal places.) 796.875 ft (c) By looking at the graph of h, determine whether dh is positive or negative at 1700 feet downrange. positive negative
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