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Correct. The acceleration due to gravity is in the -y direction and the football accelerates in the vertical direction. Part 3 of 9 - Analyze: (a) By how much does the ball clear or fall short of clearing the crossbar? (3) Let us first determine the time at which the football arrives at the goal post. This can be interpreted as the time at which the football has covered the horizontal distance from the kick point (defined as x, = 0) to the goal post. Consider the correct choice in question (1). Based on that model, choose the response below that gives the correct time at which the football is at the goal post in terms of the position x, of the goal post, the initial velocity v, and the launch angle 0. O t= O t= V, sin e O t= V, cos e Ot= V; cos e none of the above (4) Let's now find the vertical position of the football when it arrives at the goal post. Based on the correct choice in question (2), what is the most useful choice of equation from that model in finding the vertical position of the football when it arrives at the goal post? O vyf = Vyi - gt O Y, = Y; + + v

Correct. The acceleration due to gravity is in the -y direction and the football accelerates in the vertical direction. Part 3 of 9 - Analyze: (a) By how much does the ball clear or fall short of clearing the crossbar? (3) Let us first determine the time at which the football arrives at the goal post. This can be interpreted as the time at which the football has covered the horizontal distance from the kick point (defined as x, = 0) to the goal post. Consider the correct choice in question (1). Based on that model, choose the response below that gives the correct time at which the football is at the goal post in terms of the position x, of the goal post, the initial velocity v, and the launch angle 0. O t= O t= V, sin e O t= V, cos e Ot= V; cos e none of the above (4) Let's now find the vertical position of the football when it arrives at the goal post. Based on the correct choice in question (2), what is the most useful choice of equation from that model in finding the vertical position of the football when it arrives at the goal post? O vyf = Vyi - gt O Y, = Y; + + v

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Please only answer questions 3 and 4

particle under constant acceleration none of the above Correct. Acceleration due to gravity is only in the -y direction, and the x (horizontal) component of the velocity is unchanged. (2) Which one of the following represents the best analysis model to use to describe the vertical component of the motion of the football? particle in uniform circular motion particle under constant velocity ]particle under constant acceleration none of the above Correct. The acceleration due to gravity is in the -y direction and the football accelerates in the vertical direction. Part 3 of 9 - Analyze: (a) By how much does the ball clear or fall short of clearing the crossbar? (3) Let us first determine the time at which the football arrives at the goal post. This can be interpreted as the time at which the football has covered the horizontal distance from the kick point (defined as x, = 0) to the goal post. Consider the correct choice in question (1). Based on that model, choose the response below that gives the correct time at which the football is at the goal post in terms of the position x, of the goal post, the initial velocity v, and the launch angle 0. O t= *i XF O t= V, sin e cos 0 O t= O t= V, cos 0 none of the above (4) Let's now find the vertical position of the football when it arrives at the goal post. Based on the correct choice in question (2), what is the most useful choice of equation from that model in finding the vertical position of the football when it arrives at the goal post? = v Vyf = Vyi - gt O Y, = Y,+- +v 2 yi O Y, = Y, + Vyt - gt² O v 2 = v2 - 2g(y, - Y) yf yi none of the above
Transcribed Image Text:particle under constant acceleration none of the above Correct. Acceleration due to gravity is only in the -y direction, and the x (horizontal) component of the velocity is unchanged. (2) Which one of the following represents the best analysis model to use to describe the vertical component of the motion of the football? particle in uniform circular motion particle under constant velocity ]particle under constant acceleration none of the above Correct. The acceleration due to gravity is in the -y direction and the football accelerates in the vertical direction. Part 3 of 9 - Analyze: (a) By how much does the ball clear or fall short of clearing the crossbar? (3) Let us first determine the time at which the football arrives at the goal post. This can be interpreted as the time at which the football has covered the horizontal distance from the kick point (defined as x, = 0) to the goal post. Consider the correct choice in question (1). Based on that model, choose the response below that gives the correct time at which the football is at the goal post in terms of the position x, of the goal post, the initial velocity v, and the launch angle 0. O t= *i XF O t= V, sin e cos 0 O t= O t= V, cos 0 none of the above (4) Let's now find the vertical position of the football when it arrives at the goal post. Based on the correct choice in question (2), what is the most useful choice of equation from that model in finding the vertical position of the football when it arrives at the goal post? = v Vyf = Vyi - gt O Y, = Y,+- +v 2 yi O Y, = Y, + Vyt - gt² O v 2 = v2 - 2g(y, - Y) yf yi none of the above
Part 1 of 9 - Conceptualize: Imagine the scene based on your observations of American football games. If you are familiar with such games, you may realize that 40 yards is a relatively long field goal kick so we might expect the ball to be falling from its highest point in part (b). There is no way we can predict an answer to part (a) based on our experience because our experience doesn't involve the numerical values given in the problem. We would expect the vertical position of the ball when it arrives at the goal post to be a few meters. Even though air resistance can have an effect on the motion of a football, we will ignore air resistance so that we can use our analysis models to solve the problem. Part 2 of 9 - Categorize: Now that we have conceptualized the problem and have made a couple of predictions, we identify the analysis model that is needed to solve the problem. (1) Which one of the following represents the best analysis model to use to describe the horizontal component of the motion of the football? particle in uniform circular motion | particle under constant velocity particle under constant acceleration none of the above Correct. Acceleration due to gravity is only in the -y direction, and the x (horizontal) component of the velocity is unchanged. (2) Which one of the following represents the best analysis model to use to describe the vertical component of the motion of the football? particle in uniform circular motion particle under constant velocity | particle under constant acceleration none of the above Correct. The acceleration due to gravity is in the -y direction and the football accelerates in the vertical direction. Part 3 of 9 - Analyze: (a) By how much does the ball clear or fall chort of clearing the crosshar?
Transcribed Image Text:Part 1 of 9 - Conceptualize: Imagine the scene based on your observations of American football games. If you are familiar with such games, you may realize that 40 yards is a relatively long field goal kick so we might expect the ball to be falling from its highest point in part (b). There is no way we can predict an answer to part (a) based on our experience because our experience doesn't involve the numerical values given in the problem. We would expect the vertical position of the ball when it arrives at the goal post to be a few meters. Even though air resistance can have an effect on the motion of a football, we will ignore air resistance so that we can use our analysis models to solve the problem. Part 2 of 9 - Categorize: Now that we have conceptualized the problem and have made a couple of predictions, we identify the analysis model that is needed to solve the problem. (1) Which one of the following represents the best analysis model to use to describe the horizontal component of the motion of the football? particle in uniform circular motion | particle under constant velocity particle under constant acceleration none of the above Correct. Acceleration due to gravity is only in the -y direction, and the x (horizontal) component of the velocity is unchanged. (2) Which one of the following represents the best analysis model to use to describe the vertical component of the motion of the football? particle in uniform circular motion particle under constant velocity | particle under constant acceleration none of the above Correct. The acceleration due to gravity is in the -y direction and the football accelerates in the vertical direction. Part 3 of 9 - Analyze: (a) By how much does the ball clear or fall chort of clearing the crosshar?
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