A projectile is launched at an angle of 60° to the horizontal from 6 ft above the ground at an initial speed of 100 ft/sec. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the object. Answer parts a through d. a. Find the velocity and position vectors for t≥ 0. The velocity vector is v(t) = ( The position vector is r(t) = b. Graph the trajectory. Choose the correct graph below. O A. 200- 200- vn 100- 400 100- 0 B. 200 200 c. Determine the time of flight and range of the object. The projectile remains in the air for 5.45 seconds. (Round to two decimal places as needed.) The projectile travels 272.52 feet. (Round to two decimal places as needed.) d. Determine the maximum height of the object. The maximum height of the object is 122.57 feet. (Round to two decimal places as needed.) 400 Q C. 200- 100- 0 y 200 400

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter3: Radian Measure
Section3.5: Velocities
Problem 61PS: A gear train consists of three gears meshed together (Figure 9). The middle gear is known as an...
icon
Related questions
Question

Please answer each part and display all these questions and answers at the end, written in its correct form for the fill-in-blanks.

 

Thank you

A projectile is launched at an angle of 60° to the horizontal from 6 ft above the ground at an initial speed
of 100 ft/sec. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground
is horizontal, and only the gravitational force acts on the object. Answer parts a through d.
a. Find the velocity and position vectors for t≥ 0.
The velocity vector is v(t)= (-
The position vector is r(t) = (-
b. Graph the trajectory. Choose the correct graph below.
O A.
200-
100-
0-
0
200 400
M
O B.
200-
100-
0-
0
200
c. Determine the time of flight and range of the object.
The projectile remains in the air for 5.45 seconds.
(Round to two decimal places as needed.)
The projectile travels 272.52 feet.
(Round to two decimal places as needed.)
d. Determine the maximum height of the object.
The maximum height of the object is 122.57 feet.
(Round to two decimal places as needed.)
400
Q
200+
100-
0
200
400
5
Transcribed Image Text:A projectile is launched at an angle of 60° to the horizontal from 6 ft above the ground at an initial speed of 100 ft/sec. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the object. Answer parts a through d. a. Find the velocity and position vectors for t≥ 0. The velocity vector is v(t)= (- The position vector is r(t) = (- b. Graph the trajectory. Choose the correct graph below. O A. 200- 100- 0- 0 200 400 M O B. 200- 100- 0- 0 200 c. Determine the time of flight and range of the object. The projectile remains in the air for 5.45 seconds. (Round to two decimal places as needed.) The projectile travels 272.52 feet. (Round to two decimal places as needed.) d. Determine the maximum height of the object. The maximum height of the object is 122.57 feet. (Round to two decimal places as needed.) 400 Q 200+ 100- 0 200 400 5
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage