Car on a Curved Road: A vehicle travels along a curved road where the horizontal and vertical A2 positions are given by x(t) = at² and y(t) = bt² If a=2 and b=1, find the car's position after 10 seconds. B2 C2 Swinging Pendulum: The motion of a pendulum can be modeled by the parametric equations = x(t): Where L is the pendulum's length, and 8, Is the initial angle. What are the parametric equations if the pendulum has a height of 2 meters and swings with an initial angle of 30 degrees? Lsin(cos(wt)) and y(t)=-Lcos( cos(wt)) Windmill Blade: The tip of a windmill blade rotates in a circular motion, and its position can be described by x(t) = r cos(wt) and y(t) = r sin(wt) If the windmill blade is 10 meters long and rotates at a speed of 2 radians per second, find the position of the tip after 3 seconds.
Car on a Curved Road: A vehicle travels along a curved road where the horizontal and vertical A2 positions are given by x(t) = at² and y(t) = bt² If a=2 and b=1, find the car's position after 10 seconds. B2 C2 Swinging Pendulum: The motion of a pendulum can be modeled by the parametric equations = x(t): Where L is the pendulum's length, and 8, Is the initial angle. What are the parametric equations if the pendulum has a height of 2 meters and swings with an initial angle of 30 degrees? Lsin(cos(wt)) and y(t)=-Lcos( cos(wt)) Windmill Blade: The tip of a windmill blade rotates in a circular motion, and its position can be described by x(t) = r cos(wt) and y(t) = r sin(wt) If the windmill blade is 10 meters long and rotates at a speed of 2 radians per second, find the position of the tip after 3 seconds.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.1: Angle Measure
Problem 4E: Object A is travelling along a circle of radius 2, and Object B is travelling along a circle of...
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