In an open space, Arianna throws a tennis ball at an angle of 26∘ to the horizontal with an initial velocity of 78 feet per second. If the tennis ball is released at a height of 4 feet, the parametric equation would be x(t)=(78cos26∘)t, y(t)=−16t2+(78sin26∘)t+4.   After how many seconds does the tennis ball reach its maximum height? (Round your answer to the nearest tenth if necessary.)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
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In an open space, Arianna throws a tennis ball at an angle of 26∘ to the horizontal with an initial velocity of 78 feet per second. If the tennis ball is released at a height of 4 feet, the parametric equation would be x(t)=(78cos26∘)t, y(t)=−16t2+(78sin26∘)t+4.

 

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

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