The trajectory of a projectile launched from the origin at an initial speed of v at an angle of 0 degrees to the horizontal is given by the parametric equations x = v cos(0)t 1 + v sin(0)t where g is acceleration due to gravity, typically 32 feet per second per second or 9.8 meters per second per second. Find parametric equations for the trajectory of a golf ball with an initial speed of 80 feet per second at an angle of 60° to the horizontal. Enter either exact value coefficients (in radians!!!) or correct to at least three decimal places.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.FOM: Focus On Modeling: The Path Of A Projectile
Problem 6P: Shooting into the Wind Suppose that a projectile is fired into a headwind that pushes it back so as...
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The trajectory of a projectile launched from the origin at an initial speed of u at an angle of 0 degrees to
the horizontal is given by the parametric equations
x = v cos(0)t
y=-
1
I
9t²
where g is acceleration due to gravity, typically 32 feet per second per second or 9.8 meters per second
per second.
+vsin (0)t
Find parametric equations for the trajectory of a golf ball with an initial speed of 80 feet per second at an
angle of 60° to the horizontal. Enter either exact value coefficients (in radians!!!) or correct to at least
three decimal places.
Y
80 cos 60
7
)
180
t
sin (60 180)
.
How many seconds will the ball be
-16² +80 sin 60-
the air before it hits the ground?
seconds
How far will it travel horizontally in total?
feet
Transcribed Image Text:The trajectory of a projectile launched from the origin at an initial speed of u at an angle of 0 degrees to the horizontal is given by the parametric equations x = v cos(0)t y=- 1 I 9t² where g is acceleration due to gravity, typically 32 feet per second per second or 9.8 meters per second per second. +vsin (0)t Find parametric equations for the trajectory of a golf ball with an initial speed of 80 feet per second at an angle of 60° to the horizontal. Enter either exact value coefficients (in radians!!!) or correct to at least three decimal places. Y 80 cos 60 7 ) 180 t sin (60 180) . How many seconds will the ball be -16² +80 sin 60- the air before it hits the ground? seconds How far will it travel horizontally in total? feet
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