4) A pyrotechnic rocket is fired from a platform 2 ft high at an angle of 30° from the horizontal with an initial speed of 72 ft/sec. Choose a coordinate system with the origin at ground level directly below the launch position. (a) Write parametric equations that model the path of the shell as a function of the time t (in sec) after launch. (b) Approximate the time required for the shell to hit the ground. Round to the nearest hundredth of a second.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section: Chapter Questions
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4) A pyrotechnic rocket is fired from a platform 2 ft high at an angle of 30° from the horizontal with an
initial speed of 72 ft/sec. Choose a coordinate system with the origin at ground level directly below the
launch position.
(a) Write parametric equations that model the path of the shell as a function of the time t (in sec) after
launch.
(b) Approximate the time required for the shell to hit the ground. Round to the nearest hundredth of a
second.
Transcribed Image Text:4) A pyrotechnic rocket is fired from a platform 2 ft high at an angle of 30° from the horizontal with an initial speed of 72 ft/sec. Choose a coordinate system with the origin at ground level directly below the launch position. (a) Write parametric equations that model the path of the shell as a function of the time t (in sec) after launch. (b) Approximate the time required for the shell to hit the ground. Round to the nearest hundredth of a second.
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