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Part 4 of 9 - Analyze: (cont.) (5) Combine the correct answers to questions (3) and (4) above to find an expression for the vertical position of the football when it arrives at the goal post in terms of quantities given in the statement of the problem, recognizing those having a value of zero. Select that expression from the choices below. cos 0 2 V; cos 0 Yf = Xf Emphasis V; cos . DY, = x, tan 0 V, cos Xf Yf = X¢ tan 0 – V; cos 0 none of the above

Part 4 of 9 - Analyze: (cont.) (5) Combine the correct answers to questions (3) and (4) above to find an expression for the vertical position of the football when it arrives at the goal post in terms of quantities given in the statement of the problem, recognizing those having a value of zero. Select that expression from the choices below. cos 0 2 V; cos 0 Yf = Xf Emphasis V; cos . DY, = x, tan 0 V, cos Xf Yf = X¢ tan 0 – V; cos 0 none of the above

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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This is complete question, answer part 5 please

Part 4 of 9 - Analyze: (cont.) (5) Combine the correct answers to questions (3) and (4) above to find an expression for the vertical position of the football when it arrives at the goal post in terms of quantities given in the statement of the problem, recognizing those having a value of zero. Select that expression from the choices below. Xf Yf = cos 0 1 2 2 V; cos 1 Xf Emphasis Yf = Xf - 2 V, cos 0 1 |Yf = xf tan 0 2 V, cos 0 Yf = x¢ tan 0 V, cos 0 none of the above Correct. This equation expresses the final vertical position of the football in terms of quantities given in the statement of the problem. Part 5 of 9 - Analyze: (cont.) (6) Based on the correct answer to question (5) above, substitute numerical values to find the vertical position of the football when it arrives at the goal post. Xf Yp = Xftan 0 V; cos 0 m)tan 52.0 -2.8 mvs")- (9.8 m/s) m/s )(cos 52.0°) 2.
Transcribed Image Text:Part 4 of 9 - Analyze: (cont.) (5) Combine the correct answers to questions (3) and (4) above to find an expression for the vertical position of the football when it arrives at the goal post in terms of quantities given in the statement of the problem, recognizing those having a value of zero. Select that expression from the choices below. Xf Yf = cos 0 1 2 2 V; cos 1 Xf Emphasis Yf = Xf - 2 V, cos 0 1 |Yf = xf tan 0 2 V, cos 0 Yf = x¢ tan 0 V, cos 0 none of the above Correct. This equation expresses the final vertical position of the football in terms of quantities given in the statement of the problem. Part 5 of 9 - Analyze: (cont.) (6) Based on the correct answer to question (5) above, substitute numerical values to find the vertical position of the football when it arrives at the goal post. Xf Yp = Xftan 0 V; cos 0 m)tan 52.0 -2.8 mvs")- (9.8 m/s) m/s )(cos 52.0°) 2.
Part 1 of 9 - Conceptualize: Part 3 of 9 - Analyze: (a) By how much does the ball clear or fall short of clearing the crossbar? 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 (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 experience because our experience doesn't involve the numerical values given in the problem. We would 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. 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. O t= t v, sin 0 Part 2 of 9 - Categorize: v, cos e O t= 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. v, cos 0 (1) Which one of the following represents the best analysis model to use to describe the horizontal component O none of the above of the motion of the football? particle in uniform circular motion Correct. This is the correct rearrangement of the equation applied to this problem and gives the time at which the football arrives at the goal post. O P | particle under constant velocity (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 O particle under constant acceleration position of the football when it arrives at the goal post? O none of the above Vyr" Vyi - gt O Y- Y, +(vy + Vyr)t Correct. Acceleration due to gravity is only in the -y direction, and the x (horizontal) component of the velocity is • PY, - Y, + vt -gt2 unchanged. (2) Which one of the following represents the best analysis model to use to describe the vertical component of v- v,? - 29(y, - Y) the motion of the football? O none of the above particle in uniform circular motion particle under constant velocity Correct. This equation expresses the final vertical position of the football in terms of quantities we know and the time at which the football arrives at the goal post, which we found in question (3). OP | particle under constant acceleration
Transcribed Image Text:Part 1 of 9 - Conceptualize: Part 3 of 9 - Analyze: (a) By how much does the ball clear or fall short of clearing the crossbar? 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 (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 experience because our experience doesn't involve the numerical values given in the problem. We would 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. 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. O t= t v, sin 0 Part 2 of 9 - Categorize: v, cos e O t= 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. v, cos 0 (1) Which one of the following represents the best analysis model to use to describe the horizontal component O none of the above of the motion of the football? particle in uniform circular motion Correct. This is the correct rearrangement of the equation applied to this problem and gives the time at which the football arrives at the goal post. O P | particle under constant velocity (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 O particle under constant acceleration position of the football when it arrives at the goal post? O none of the above Vyr" Vyi - gt O Y- Y, +(vy + Vyr)t Correct. Acceleration due to gravity is only in the -y direction, and the x (horizontal) component of the velocity is • PY, - Y, + vt -gt2 unchanged. (2) Which one of the following represents the best analysis model to use to describe the vertical component of v- v,? - 29(y, - Y) the motion of the football? O none of the above particle in uniform circular motion particle under constant velocity Correct. This equation expresses the final vertical position of the football in terms of quantities we know and the time at which the football arrives at the goal post, which we found in question (3). OP | particle under constant acceleration
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