A projectile is launched at an angle of 60° to the horizontal from 6.5 ft above the ground at an initial speed of 300 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 t20. The velocity vector is v(t) = OD The position vector is rit) = OD b. Graph the trajectory. Choose the correct graph below. OA. OB. OC. 1100 1100I 1100 550 550 1250 2500 1250 2500 1250 2500 c. Determine the time of flight and range of the object. The projectile remains in the air for seconds. (Round to two decimal places as needed.) The projectile travels fet. (Round to two decimal places as needed.) d. Determine the maximum height of the object. The maximum height of the object is feet (Round to two decimal places as needed.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A projectile is launched at an angle of 60° to the horizontal from 6.5 ft above the ground at an initial speed of 300 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 t20.
The velocity vector is v(t) =
The position vector is r(t) =
b. Graph the trajectory. Choose the correct graph below.
O A.
O B.
В.
OC.
本)
1100TTT
Ay
1100-
Ay
1100-
NIT
INIT
550-
550-
550-
0-
1250
2500
1250
2500
1250
2500
c. Determine the time of flight and range of the object.
с.
The projectile remains in the air for seconds.
(Round to two decimal places as needed.)
The projectile travels feet.
(Round to two decimal places as needed.)
d. Determine the maximum height of the object.
The maximum height of the object is feet.
(Round to two decimal places as needed.)
Transcribed Image Text:A projectile is launched at an angle of 60° to the horizontal from 6.5 ft above the ground at an initial speed of 300 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 t20. The velocity vector is v(t) = The position vector is r(t) = b. Graph the trajectory. Choose the correct graph below. O A. O B. В. OC. 本) 1100TTT Ay 1100- Ay 1100- NIT INIT 550- 550- 550- 0- 1250 2500 1250 2500 1250 2500 c. Determine the time of flight and range of the object. с. The projectile remains in the air for seconds. (Round to two decimal places as needed.) The projectile travels feet. (Round to two decimal places as needed.) d. Determine the maximum height of the object. The maximum height of the object is feet. (Round to two decimal places as needed.)
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