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A placekicker must kick a football from a point 36.0 m (about 40 yards) from the goal. Half the crowd hopes the ball will clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 24.2 m/s at an angle of 52.0° to the horizontal. (a) By how much does the ball clear or fall short of clearing the crossbar? (b) Does the ball approach the crossbar while still rising or while falling?

A placekicker must kick a football from a point 36.0 m (about 40 yards) from the goal. Half the crowd hopes the ball will clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 24.2 m/s at an angle of 52.0° to the horizontal. (a) By how much does the ball clear or fall short of clearing the crossbar? (b) Does the ball approach the crossbar while still rising or while falling?

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Analysis Model Tutorial A placekicker must kick a football from a point 36.0 m (about 40 yards) from the goal. Half the crowd hopes the ball will clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 24.2 m/s at an angle of 52.0° to the horizontal. (a) By how much does the ball clear or fall short of clearing the crossbar? (b) Does the ball approach the crossbar while still rising or while falling? 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. Continue
Transcribed Image Text:Analysis Model Tutorial A placekicker must kick a football from a point 36.0 m (about 40 yards) from the goal. Half the crowd hopes the ball will clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 24.2 m/s at an angle of 52.0° to the horizontal. (a) By how much does the ball clear or fall short of clearing the crossbar? (b) Does the ball approach the crossbar while still rising or while falling? 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. Continue
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