6) A projectile is fired at an inclination of 45° to the horizontal, with a muzzle velocity of 100 -32x? feet per second. The height h of the projectile is modeled by h(x) = + x where x 1002 is the horizontal distance of the projectile from the firing point. a. At what horizontal distance from the firing point is the height of the projectile a maximum? b. Find the maximum height of the projectile. c. At what horizontal distance from the firing point will the projectile strike the ground?

Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter4: Motion In Two Dimensions
Section: Chapter Questions
Problem 16P: A projectile is fired from the top of a cliff of height h above the ocean below. The projectile is...
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6) A projectile is fired at an inclination of 45° to the horizontal, with a muzzle velocity of 100
-32x?
feet per second. The height h of the projectile is modeled by h(x) =
+ x where x
1002
is the horizontal distance of the projectile from the firing point.
a. At what horizontal distance from the firing point is the height of the projectile a
maximum?
b. Find the maximum height of the projectile.
c. At what horizontal distance from the firing point will the projectile strike the
ground?
Transcribed Image Text:6) A projectile is fired at an inclination of 45° to the horizontal, with a muzzle velocity of 100 -32x? feet per second. The height h of the projectile is modeled by h(x) = + x where x 1002 is the horizontal distance of the projectile from the firing point. a. At what horizontal distance from the firing point is the height of the projectile a maximum? b. Find the maximum height of the projectile. c. At what horizontal distance from the firing point will the projectile strike the ground?
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