3. A cannonball fired out to sea from a shore battery follows a parabolic trajectory given by the graph of the equation h(x) = 10x – 0.01x² where h(x) is the height of the cannonball above the water when it has traveled a horizontal distance of x feet. (a) What is the maximum height that the cannonball reaches? (b) How far does the cannonball travel horizontally before splashing into the water? 4. Graph the polynomial P(x) = –(x+ 2)³ + 27, showing clearly all x- and y-intercepts. 3. A cannonball fired out to sea from a shore battery follows a parabolic trajectory given by thegraph of the equationh(x) = 10x – 0.01x²h(x)where h(x) is the height of the cannonball above the water when it has traveled a horizontaldistance of x feet.(a) What is the maximum height that the cannonball reaches?(b) How far does the cannonball travel horizontally before splashing into the water?4. Graph the polynomial P(x) = –(x + 2)³ + 27, showing clearly all x- and y-intercepts.

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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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3. A cannonball fired out to sea from a shore battery follows a parabolic trajectory given by the graph of the equation h(x) = 10x – 0.01x² where h(x) is the height of the cannonball above the water when it has traveled a horizontal distance of x feet. (a) What is the maximum height that the cannonball reaches? (b) How far does the cannonball travel horizontally before splashing into the water? 4. Graph the polynomial P(x) = –(x+ 2)³ + 27, showing clearly all x- and y-intercepts.

3. A cannonball fired out to sea from a shore battery follows a parabolic trajectory given by the
graph of the equation
h(x) = 10x – 0.01x²
h(x)
where h(x) is the height of the cannonball above the water when it has traveled a horizontal
distance of x feet.
(a) What is the maximum height that the cannonball reaches?
(b) How far does the cannonball travel horizontally before splashing into the water?
4. Graph the polynomial P(x) = –(x + 2)³ + 27, showing clearly all x- and y-intercepts.

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