An arrow is shot upward, with an initial velocity of 90 meters per second, at an angle of 34° with respect to the horizontal. The arrow is shot from a height of 6 meters above the ground. The horizontal distance x from the starting point and the height y above the ground of the arrow t seconds after it is shot are given by the parametric equations below. = (v₁ cose)t y=−4.9t²+(v sin0)t+h X Here vo is the initial velocity, is the initial angle with respect to the horizontal, and h is the initial height. Use the equations to answer the following questions.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
icon
Related questions
Question
An arrow is shot upward, with an initial velocity of 90 meters per second, at an angle of 34° with respect to the horizontal. The arrow is shot from a height of
6 meters above the ground.
The horizontal distance x from the starting point and the height y above the ground of the arrow t seconds after it is shot are given by the parametric
equations below.
= (v₁ cos 0)t
y = −4.9t²+(v₁ sin0)t+h
X
Here Vo
is the initial velocity, is the initial angle with respect to the horizontal, and h is the initial height.
Use the equations to answer the following questions.
Transcribed Image Text:An arrow is shot upward, with an initial velocity of 90 meters per second, at an angle of 34° with respect to the horizontal. The arrow is shot from a height of 6 meters above the ground. The horizontal distance x from the starting point and the height y above the ground of the arrow t seconds after it is shot are given by the parametric equations below. = (v₁ cos 0)t y = −4.9t²+(v₁ sin0)t+h X Here Vo is the initial velocity, is the initial angle with respect to the horizontal, and h is the initial height. Use the equations to answer the following questions.
(a) When does the arrow reach its maximum height?
Do not round any intermediate computations. Round your answer to
the nearest hundredth.
seconds
(b) What is the maximum height of the arrow?
Round your answer to the nearest tenth.
meters
X
Ś
FR
Transcribed Image Text:(a) When does the arrow reach its maximum height? Do not round any intermediate computations. Round your answer to the nearest hundredth. seconds (b) What is the maximum height of the arrow? Round your answer to the nearest tenth. meters X Ś FR
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning