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.
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°.
Related questions
Question
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.
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
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