A particle follows the trajectory x(t) = 1 + 2t, y(t) = 26t – i² with t in seconds and distance in centimeters. What is the particle's maximum height? (Give an exact answer. Use symbolic notation and fractions where needed.) maximum height: cm When does the particle hit the ground? (Give an exact answer. Use symbolic notation and fractions where needed.) t = S How far from the origin does it land when it hits the ground? (Give an exact answer. Use symbolic notation and fractions where needed.) distance: cm

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 24E
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A particle follows the trajectory
x(t) = 1 + 2t, y(t) = 26t – i²
with t in seconds and distance in centimeters.
What is the particle's maximum height?
(Give an exact answer. Use symbolic notation and fractions where needed.)
maximum height:
cm
When does the particle hit the ground?
(Give an exact answer. Use symbolic notation and fractions where needed.)
t =
S
How far from the origin does it land when it hits the ground?
(Give an exact answer. Use symbolic notation and fractions where needed.)
distance:
cm
Transcribed Image Text:A particle follows the trajectory x(t) = 1 + 2t, y(t) = 26t – i² with t in seconds and distance in centimeters. What is the particle's maximum height? (Give an exact answer. Use symbolic notation and fractions where needed.) maximum height: cm When does the particle hit the ground? (Give an exact answer. Use symbolic notation and fractions where needed.) t = S How far from the origin does it land when it hits the ground? (Give an exact answer. Use symbolic notation and fractions where needed.) distance: cm
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