A ball is kicked upward from the ground, with an initial velocity of 44 meters per second, at an angle of 33° with respect to the horizontal. The horizontal distance x from the starting point and the height y above the ground of the ball t seconds after it is kicked are given by the parametric equations below. x-(, cos e)t y=-4.91 + (vo sin 0)t +h Here vo is the initial velocity, 0 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 ball reach its maximum height? Do not round any intermediate computations. Round your answer to the nearest hundredth. II| seconds (b) What is the maximum height of the ball? Round your answer to the nearest tenth. | meters ROD Final

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 53E
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A ball is kicked upward from the ground, with an initial velocity of 44 meters per second, at an angle of 33° with respect to the horizontal.
The horizontal distance x from the starting point and the height y above the ground of the ball t seconds after it is kicked are given by the parametric equations
below.
cos 0):
y=-4.9t+(v sin 0
x-(v,
)t +h
Aa
Here vo is the initial velocity, 0 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 ball 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 ball?
Round your answer to the nearest tenth.
th
meters
ROD
Final F
Transcribed Image Text:A ball is kicked upward from the ground, with an initial velocity of 44 meters per second, at an angle of 33° with respect to the horizontal. The horizontal distance x from the starting point and the height y above the ground of the ball t seconds after it is kicked are given by the parametric equations below. cos 0): y=-4.9t+(v sin 0 x-(v, )t +h Aa Here vo is the initial velocity, 0 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 ball 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 ball? Round your answer to the nearest tenth. th meters ROD Final F
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