A watermelon is launched by a catapult with an initial velocity of 89 feet per second and an angle of 61∘ to the horizontal. If the watermelon is launched with an initial height of 9 feet, thus the parametric equations for the watermelon's motion is x(t)=(89cos61∘)t, y(t)=−16t2+(89sin61∘)t+9.  After how many seconds does the watermelon reach its maximum height? (Round your answer to the nearest tenth if necessary.)

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°.
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A watermelon is launched by a catapult with an initial velocity of 89 feet per second and an angle of 61∘ to the horizontal. If the watermelon is launched with an initial height of 9 feet, thus the parametric equations for the watermelon's motion is x(t)=(89cos61∘)t, y(t)=−16t2+(89sin61∘)t+9. 

After how many seconds does the watermelon reach its maximum height? (Round your answer to the nearest tenth if necessary.)

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