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y A soccer player kicks a ball and gives it an initial velocity of vo m/s at an angle 60 above the horizontal. A drone hovering above the ground is the ball's intended target. The ball hits the drone t seconds later. Please complete each of the following parts of this problem. Ple (a) Please write neatly and clearly, use the GFS method to show and explain each step of your work, and use only the same variables we have employed in class. In addition, please use the method discussed in class to explicitly show any unit conversions this problem may require (b) Draw a sketch of the ball's trajectory that includes its initial velocity and angle. Place the coordinate system's origin where the player kicks the ball. Next, write the full kinematic equations (t eeded to determine the ball's exact position (i.e., its x and y coordinates) the instant it hits the drone. (c) Using the information in this problem's description and your chosen coordinate system, simplify the equations you obtained in (b) by showing whether any of their terms are zero. Once you have simplified the equations, solve them to find X and y, but do not plug in any numbers yet. (d) If vo=26.8 m/s, 00 = 35.0° above the horizontal, and t = 2.00 s, use the equations you found in (c) to determine the ball's position when it hits the drone. Determine the ball's x and y coordinates in meters to three significant figures. (e) Showing and explaining each step of your work, calculate the magnitude and direction of the ball's velocity a split second before it hits the drone.

y A soccer player kicks a ball and gives it an initial velocity of vo m/s at an angle 60 above the horizontal. A drone hovering above the ground is the ball's intended target. The ball hits the drone t seconds later. Please complete each of the following parts of this problem. Ple (a) Please write neatly and clearly, use the GFS method to show and explain each step of your work, and use only the same variables we have employed in class. In addition, please use the method discussed in class to explicitly show any unit conversions this problem may require (b) Draw a sketch of the ball's trajectory that includes its initial velocity and angle. Place the coordinate system's origin where the player kicks the ball. Next, write the full kinematic equations (t eeded to determine the ball's exact position (i.e., its x and y coordinates) the instant it hits the drone. (c) Using the information in this problem's description and your chosen coordinate system, simplify the equations you obtained in (b) by showing whether any of their terms are zero. Once you have simplified the equations, solve them to find X and y, but do not plug in any numbers yet. (d) If vo=26.8 m/s, 00 = 35.0° above the horizontal, and t = 2.00 s, use the equations you found in (c) to determine the ball's position when it hits the drone. Determine the ball's x and y coordinates in meters to three significant figures. (e) Showing and explaining each step of your work, calculate the magnitude and direction of the ball's velocity a split second before it hits the drone.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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y A soccer player kicks a ball and gives it an initial velocity of vo m/s at an angle 60 above the horizontal. A drone hovering above the ground is the ball's intended target. The ball hits the drone t seconds later. Please complete each of the following parts of this problem. Ple (a) Please write neatly and clearly, use the GFS method to show and explain each step of your work, and use only the same variables we have employed in class. In addition, please use the method discussed in class to explicitly show any unit conversions this problem may require (b) Draw a sketch of the ball's trajectory that includes its initial velocity and angle. Place the coordinate system's origin where the player kicks the ball. Next, write the full kinematic equations (t eeded to determine the ball's exact position (i.e., its x and y coordinates) the instant it hits the drone. (c) Using the information in this problem's description and your chosen coordinate system, simplify the equations you obtained in (b) by showing whether any of their terms are zero. Once you have simplified the equations, solve them to find X and y, but do not plug in any numbers yet. (d) If vo=26.8 m/s, 00 = 35.0° above the horizontal, and t = 2.00 s, use the equations you found in (c) to determine the ball's position when it hits the drone. Determine the ball's x and y coordinates in meters to three significant figures. (e) Showing and explaining each step of your work, calculate the magnitude and direction of the ball's velocity a split second before it hits the drone.
Transcribed Image Text:y A soccer player kicks a ball and gives it an initial velocity of vo m/s at an angle 60 above the horizontal. A drone hovering above the ground is the ball's intended target. The ball hits the drone t seconds later. Please complete each of the following parts of this problem. Ple (a) Please write neatly and clearly, use the GFS method to show and explain each step of your work, and use only the same variables we have employed in class. In addition, please use the method discussed in class to explicitly show any unit conversions this problem may require (b) Draw a sketch of the ball's trajectory that includes its initial velocity and angle. Place the coordinate system's origin where the player kicks the ball. Next, write the full kinematic equations (t eeded to determine the ball's exact position (i.e., its x and y coordinates) the instant it hits the drone. (c) Using the information in this problem's description and your chosen coordinate system, simplify the equations you obtained in (b) by showing whether any of their terms are zero. Once you have simplified the equations, solve them to find X and y, but do not plug in any numbers yet. (d) If vo=26.8 m/s, 00 = 35.0° above the horizontal, and t = 2.00 s, use the equations you found in (c) to determine the ball's position when it hits the drone. Determine the ball's x and y coordinates in meters to three significant figures. (e) Showing and explaining each step of your work, calculate the magnitude and direction of the ball's velocity a split second before it hits the drone.
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