Analysing the Motion of a Projectile. A projectile is fired at an inclination of 45 ° to the horizontal, with a muzzle velocity of 100 feet per second. The height h of the projectile above the water is modelled by, h ( x ) = − 32 x 2 100 2 + x Where x 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?

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Answer 1

Question

Chapter 4.4, Problem 12AE

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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 determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ is the horizontal distance of the projectile from the firing point.

b. Find the maximum height of the projectile.

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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 determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ is the horizontal distance of the projectile from the firing point.

d. Using a graphing utility, graph the function $h$ , $0 \leq x \leq 350$ .

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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 determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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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In simplest terms, Sketch the graph of the parabola. Then, determine its equation. opens downward, vertex is (- 4, 7), passes through point (0, - 39)

Answer 2

Question

Chapter 4.4, Problem 12AE

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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 determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ is the horizontal distance of the projectile from the firing point.

b. Find the maximum height of the projectile.

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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 determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ is the horizontal distance of the projectile from the firing point.

d. Using a graphing utility, graph the function $h$ , $0 \leq x \leq 350$ .

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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 determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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?

Expert Solution & Answer

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Answer 3

Question

Chapter 4.4, Problem 12AE

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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 determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ is the horizontal distance of the projectile from the firing point.

b. Find the maximum height of the projectile.

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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 determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ is the horizontal distance of the projectile from the firing point.

d. Using a graphing utility, graph the function $h$ , $0 \leq x \leq 350$ .

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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 determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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?

Expert Solution & Answer

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See solution

Answer 4

Question

Chapter 4.4, Problem 12AE

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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 determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ is the horizontal distance of the projectile from the firing point.

b. Find the maximum height of the projectile.

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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 determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ is the horizontal distance of the projectile from the firing point.

d. Using a graphing utility, graph the function $h$ , $0 \leq x \leq 350$ .

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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 determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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?

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 4.4, Problem 12AE

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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 determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ is the horizontal distance of the projectile from the firing point.

b. Find the maximum height of the projectile.

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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 determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ is the horizontal distance of the projectile from the firing point.

d. Using a graphing utility, graph the function $h$ , $0 \leq x \leq 350$ .

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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 determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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?

Answer 6

Chapter 4.4, Problem 12AE

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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?

Answer 7

Chapter 4.4, Problem 12AE

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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?

Answer 8

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ is the horizontal distance of the projectile from the firing point.

b. Find the maximum height of the projectile.

Answer 9

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ is the horizontal distance of the projectile from the firing point.

b. Find the maximum height of the projectile.

Answer 10

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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?

Answer 11

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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?

Answer 12

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ is the horizontal distance of the projectile from the firing point.

d. Using a graphing utility, graph the function $h$ , $0 \leq x \leq 350$ .

Answer 13

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ is the horizontal distance of the projectile from the firing point.

d. Using a graphing utility, graph the function $h$ , $0 \leq x \leq 350$ .

Answer 14

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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.

Answer 15

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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.

Answer 16

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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?

Answer 17

To determine

To find: Analysing the Motion of a Projectile. A projectile is fired at an inclination of $45 °$ to the horizontal, with a muzzle velocity of 100 feet per second. The height $h$ of the projectile above the water is modelled by,

$h (x) = \frac{- 32 x^{2}}{100^{2}} + x$

Where $x$ 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?

Answer 18

Expert Solution & Answer

Answer 19

Expert Solution & Answer

Answer 20

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Check out a sample textbook solution

See solution

Answer 21

Ch. 4.1 - Prob. 1AYP Ch. 4.1 - Prob. 2AYP Ch. 4.1 - Prob. 3AYP Ch. 4.1 - Prob. 4AYP Ch. 4.1 - Prob. 5AYP Ch. 4.1 - Prob. 6AYP Ch. 4.1 - Prob. 7CV Ch. 4.1 - Prob. 8CV Ch. 4.1 - Prob. 9CV Ch. 4.1 - Prob. 10CV

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