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?

Question

Want to see the full answer?

Answer 1

Question

Chapter 4.4, Problem 12AYU

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

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

Solve by the quadratic formula or completing the square to obtain exact solutions. 2 e 104 OA) -16±3√6 B) 8±√10 O c) -8±√10 OD) 8±3√√6 U

Question 14 (1 point) Listen The frame on a picture is 18 in by 22 in outside and is of uniform width. Using algebraic methods, what is the width of the frame if the inner area of the picture shown is 250 in²2? Write answer to 2 decimal places. (Write the number with no units). 18 in Your Answer: 22 in

◄ Listen A vacant lot is being converted into a community garden. The garden and a walkway around its perimeter have an area of 560 square feet. Find the width of the walkway (x) if the garden measures 15 feet wide by 19 feet long. Write answer to 2 decimal places. (Write the number without units). X 15 feet Your Answer: 19 feet X

Answer 2

Question

Chapter 4.4, Problem 12AYU

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

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 4.4, Problem 12AYU

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

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 4.4, Problem 12AYU

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

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 4.4, Problem 12AYU

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 12AYU

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 12AYU

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

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 21

Ch. 4.1 - Answers are given at the end of these exercises....Ch. 4.1 - Prob. 2AYU Ch. 4.1 - Prob. 3AYU Ch. 4.1 - Prob. 4AYU Ch. 4.1 - Prob. 5AYU Ch. 4.1 - Prob. 6AYU Ch. 4.1 - Prob. 7AYU Ch. 4.1 - Prob. 8AYU Ch. 4.1 - 9. True or False The slope of a nonvertical line...Ch. 4.1 - Prob. 10AYU

Concept explainers

Videos

Want to see the full answer?

Chapter 4 Solutions