2. A projectile is fired from a cliff 200 meter above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 100 meter/second. The heighth of the projectile above the water is modeled by -32x² +x+200 h(x)= (100) where x is the horizontal distance of the projectile from the face of the cliff. (a) At what horizontal distance from the face of the cliff is the height of the projectile a maximum? (b) Find the maximum height of the projectile. (c) At what horizontal distance from the face of the cliff will the projectile strike the water? (d) When the height of the projectile is 50 meter above the water, how far is it from the cliff?
2. A projectile is fired from a cliff 200 meter above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 100 meter/second. The heighth of the projectile above the water is modeled by -32x² +x+200 h(x)= (100) where x is the horizontal distance of the projectile from the face of the cliff. (a) At what horizontal distance from the face of the cliff is the height of the projectile a maximum? (b) Find the maximum height of the projectile. (c) At what horizontal distance from the face of the cliff will the projectile strike the water? (d) When the height of the projectile is 50 meter above the water, how far is it from the cliff?
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:2. A projectile is fired from a cliff 200 meter above the water at an inclination of 45° to the horizontal, with
a muzzle velocity of 100 meter/second. The heighth of the projectile above the water is modeled by
-32x²
+x+200
h(x)=
(100)
where x is the horizontal distance of the projectile from the face of the cliff.
(a) At what horizontal distance from the face of the cliff is the height of the projectile a maximum?
(b) Find the maximum height of the projectile.
(c) At what horizontal distance from the face of the cliff will the projectile strike the water?
(d) When the height of the projectile is 50 meter above the water, how far is it from the cliff?
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