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A1 Cycling Path: A cyclist is riding along a circular track. If the parametric equations describe the horizontal and vertical positions of the cyclist x(t) = rcos(t) and y(t) = rsin(t) Where r is the radius, and t is the time in seconds, what is the cyclist's position after 5 seconds? B1 C1 Projectile Motion: A soccer player kicks a ball at an angle. The parametric equations can model the ball's horizontal and vertical positions. x(t) = vo and cos(0) t y(t)=vo sin(0) t - 0.5gt² Given initial velocity vo and angle 0, How far will the ball travel before hitting the ground? Ferris Wheel: The position of a passenger on a Ferris wheel can be described by, x(t) = r cos(wt) and y(t) = r sin(wt) Where r is the radius, and w is the angular velocity. What are the parametric equations if the Ferris wheel has a radius of 50 meters and completes one full rotation every 60 seconds?

A1 Cycling Path: A cyclist is riding along a circular track. If the parametric equations describe the horizontal and vertical positions of the cyclist x(t) = rcos(t) and y(t) = rsin(t) Where r is the radius, and t is the time in seconds, what is the cyclist's position after 5 seconds? B1 C1 Projectile Motion: A soccer player kicks a ball at an angle. The parametric equations can model the ball's horizontal and vertical positions. x(t) = vo and cos(0) t y(t)=vo sin(0) t - 0.5gt² Given initial velocity vo and angle 0, How far will the ball travel before hitting the ground? Ferris Wheel: The position of a passenger on a Ferris wheel can be described by, x(t) = r cos(wt) and y(t) = r sin(wt) Where r is the radius, and w is the angular velocity. What are the parametric equations if the Ferris wheel has a radius of 50 meters and completes one full rotation every 60 seconds?

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.4: Plane Curves And Parametric Equations
Problem 56E
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A1 Cycling Path: A cyclist is riding along a circular track. If the parametric equations describe the horizontal and vertical positions of the cyclist x(t) = rcos(t) and y(t) = rsin(t) Where r is the radius, and t is the time in seconds, what is the cyclist's position after 5 seconds? B1 C1 Projectile Motion: A soccer player kicks a ball at an angle. The parametric equations can model the ball's horizontal and vertical positions. x(t) = vo and cos(0) t y(t)=vo sin(0) t - 0.5gt² Given initial velocity vo and angle 0, How far will the ball travel before hitting the ground? Ferris Wheel: The position of a passenger on a Ferris wheel can be described by, x(t) = r cos(wt) and y(t) = r sin(wt) Where r is the radius, and w is the angular velocity. What are the parametric equations if the Ferris wheel has a radius of 50 meters and completes one full rotation every 60 seconds?
Transcribed Image Text:A1 Cycling Path: A cyclist is riding along a circular track. If the parametric equations describe the horizontal and vertical positions of the cyclist x(t) = rcos(t) and y(t) = rsin(t) Where r is the radius, and t is the time in seconds, what is the cyclist's position after 5 seconds? B1 C1 Projectile Motion: A soccer player kicks a ball at an angle. The parametric equations can model the ball's horizontal and vertical positions. x(t) = vo and cos(0) t y(t)=vo sin(0) t - 0.5gt² Given initial velocity vo and angle 0, How far will the ball travel before hitting the ground? Ferris Wheel: The position of a passenger on a Ferris wheel can be described by, x(t) = r cos(wt) and y(t) = r sin(wt) Where r is the radius, and w is the angular velocity. What are the parametric equations if the Ferris wheel has a radius of 50 meters and completes one full rotation every 60 seconds?
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