Kicking a ball ( optimal angle)

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In summary, a ball is kicked with a speed of 7.5 m/s at an angle  of 45 and 40 relative to the horizontal. It lands on a flat area 5 m lower than where it was kicked. To answer the questions, a coordinate system with an origin and directions of axes is chosen and equations are applied. For both cases, the time the ball is flying is calculated, the highest point above the start is determined, and the horizontal distance it was flying is calculated. In class, it was found that the optimal angle for horizontal distance is  = 45 in a similar but different problem. This result is not contradictory because in the class problem, y initial was equal to y
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mahrouqi
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A ball is kicked with a speed of 7.5 m/s and an angle  (relative to the horizontal) of
(a)  = 45, (b)  = 40.

The ball lands on a flat area 5 m lower than the place where it was kicked.
First describe how you choose your coordinate system (frame of reference): origin and
directions of axes used; and state the equations you apply to answer the questions below.

For both cases
(i) calculate the time the ball is flying,
(ii) determine the highest point (how high above the start),
(iii) calculate the horizontal distance it was flying
(iv) In class we found that the optimal angle for the horizontal distance is  = 45 in a
similar but di erent problem. Explain why your result here is not in contradiction to that
finding. for the problem we did it in the class y initial was equal to y final but i am not sure if this is the answer i didnt get the question !

(v) Repeat (i) { (iii) in the case when the
at area for landing is 1 m higher. What changes
qualitatively?
 
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  • #2
please i need help !
 

1. What is the optimal angle for kicking a ball?

The optimal angle for kicking a ball depends on various factors such as the distance from the goal, the type of ball, and the strength of the kicker. Generally, the optimal angle is between 30-40 degrees for a powerful and accurate kick.

2. How does the angle affect the trajectory of a kicked ball?

The angle at which a ball is kicked affects its trajectory by determining the height and distance it will travel. A higher angle will result in a higher trajectory and a lower angle will result in a lower trajectory. This is due to the force of gravity pulling the ball down towards the ground.

3. Can the optimal angle change depending on the type of ball?

Yes, the optimal angle can vary depending on the type of ball being kicked. For example, a soccer ball may have a different optimal angle than a football due to their different shapes and sizes. It is important to consider the characteristics of the ball when determining the optimal angle for kicking.

4. How does the distance from the goal affect the optimal angle?

The distance from the goal can greatly affect the optimal angle for kicking a ball. If the distance is shorter, a lower angle may be more effective in order to keep the ball low and accurate. On the other hand, a longer distance may require a higher angle for a more powerful kick to reach the goal.

5. Is there a specific technique for finding the optimal angle for kicking a ball?

Yes, there are various techniques and formulas that can be used to determine the optimal angle for kicking a ball. These include the angle of release, the angle of impact, and the angle of elevation. It is important to consider all of these factors to achieve the best possible kick.

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