1. A projectile launched from the ground with an initial speed of 20 m/s and a launch angle follows a trajectory approximated by x = (20 cos 0)t y = -4.9t² + (20 sin 0)t where x and y are the horizontal and vertical positions of the projectile relative to the launch point (0,0). a. Graph the trajectory for various values of 0 in the range 0 < 0 <- 9 b. Based on your observations, what value of 0 gives the greatest range (the horizontal distance between the launch and landing points)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 29E
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1. A projectile launched from the ground with an initial speed of 20 m/s and a launch
angle 0 follows a trajectory approximated by
x = (20 cos 0)t
y = -4.9t² + (20 sin 0)t
where x and y are the horizontal and vertical positions of the projectile relative to the launch
point (0,0).
a. Graph the trajectory for various values of 0 in the range 0 < 0 < 7.
b. Based on your observations, what value of 0 gives the greatest range (the horizontal
distance between the launch and landing points)?
Transcribed Image Text:1. A projectile launched from the ground with an initial speed of 20 m/s and a launch angle 0 follows a trajectory approximated by x = (20 cos 0)t y = -4.9t² + (20 sin 0)t where x and y are the horizontal and vertical positions of the projectile relative to the launch point (0,0). a. Graph the trajectory for various values of 0 in the range 0 < 0 < 7. b. Based on your observations, what value of 0 gives the greatest range (the horizontal distance between the launch and landing points)?
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