Concept explainers
To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of to the horizontal, with a muzzle velocity of 100 feet per second. The height of the projectile above the water is modelled by,
Where 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?
To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of to the horizontal, with a muzzle velocity of 100 feet per second. The height of the projectile above the water is modelled by,
Where is the horizontal distance of the projectile from the firing point.
b. Find the maximum height of the projectile.
To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of to the horizontal, with a muzzle velocity of 100 feet per second. The height of the projectile above the water is modelled by,
Where is the horizontal distance of the projectile from the firing point.
c. At what horizontal distance from the firing point will the projectile strike the ground?
To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of to the horizontal, with a muzzle velocity of 100 feet per second. The height of the projectile above the water is modelled by,
Where is the horizontal distance of the projectile from the firing point.
d. Using a graphing utility, graph the function , .
To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of to the horizontal, with a muzzle velocity of 100 feet per second. The height of the projectile above the water is modelled by,
Where is the horizontal distance of the projectile from the firing point.
e. Use a graphing utility to verify the results obtained in parts b. and c.
To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of to the horizontal, with a muzzle velocity of 100 feet per second. The height of the projectile above the water is modelled by,
Where is the horizontal distance of the projectile from the firing point.
f. When the height of the projectile is50 feet above the ground, how far has it travelled horizontally?
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College Algebra Enhanced with Graphing Utilities (7th Edition) (Sullivan Enhanced with Graphing Utilities Series)
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