Field Goal Projectile Problem: Time to Score!

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In summary, a place kicker with an initial velocity of 27.0 m/s at an angle of 30.0° attempts a field goal with the uprights 35 m away and the horizontal bar 4.0 m from the ground. Using trigonometry, the vertical and horizontal components can be found. The horizontal component is motion at constant speed, while the vertical motion is accelerated. To find the time when the ball will pass the goal posts, the formulas for velocity and distance in vertical motion can be used.
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physicsguy98
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A place kicker attempts a field goal, giving the ball an initial velocity of 27.0 m/s at an angle of 30.0° with the level field. The uprights are 35 m from the point at which the ball is kicked and the horizontal bar is 4.0 m from the ground.
At what time after the kick will the ball pass the goal posts?
 
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Start with the initial velocity. Use trigonometry to find the vertical and horizontal components. The horizontal part is motion at constant speed, d = vt. The vertical motion is accelerated and you can use the velocity and distance formulas for that motion. Go as far as you can and you'll be eligible for more help!
 

1. How do you calculate the time it takes for a field goal to score?

The time it takes for a field goal to score can be calculated using the equation t = 2 * v * sin(θ) / g, where t is the time in seconds, v is the initial velocity of the ball, θ is the angle of the kick, and g is the acceleration due to gravity (9.8 m/s^2).

2. What factors impact the time it takes for a field goal to score?

The time it takes for a field goal to score is impacted by the initial velocity of the ball, the angle of the kick, and the acceleration due to gravity. Other factors such as air resistance and wind can also play a role in the time it takes for a field goal to score.

3. How does the distance from the goal posts affect the time to score a field goal?

The distance from the goal posts can impact the time it takes for a field goal to score. The farther away the goal posts are, the longer it will take for the ball to reach them due to the increased distance and air resistance. This means that a field goal from a longer distance will take more time to score compared to one from a shorter distance.

4. Is it possible for a field goal to score in less than one second?

Yes, it is possible for a field goal to score in less than one second. This would require a very high initial velocity of the ball and a steep angle of the kick. However, this scenario is not very common and most field goals take around 3-4 seconds to score.

5. How accurate are the calculations for the time it takes to score a field goal?

The calculations for the time it takes to score a field goal are accurate as long as all the variables are known and accounted for. However, in reality, there are many other factors that can impact the time it takes for a field goal to score, such as wind, air resistance, and the skill of the kicker. Therefore, the calculated time may not always match the actual time it takes for a field goal to score.

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