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BasketDaN
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Does anybody know how to mathematically prove that an object launched at a 45 degree angle will have the largest possible displacement?
BasketDaN said:Does anybody know how to mathematically prove that an object launched at a 45 degree angle will have the largest possible displacement?
BasketDaN said:Does anybody know how to mathematically prove that an object launched at a 45 degree angle will have the largest possible displacement?
Calculex said:Now that you know this, you can give coaching tips to the punter on your college football team: kick the ball so that it has a 45 degree angle on take-off.
Calculex
A 45 degree angle launch is when an object is launched at an angle of 45 degrees from the horizontal ground.
A 45 degree angle launch is considered the best for displacement because it maximizes the horizontal and vertical components of the object's initial velocity, allowing it to travel the furthest distance.
A mathematical proof involves using equations and calculations to analyze the forces acting on the object during a 45 degree angle launch. This proof shows that the horizontal and vertical components of the object's initial velocity are equal at this angle, resulting in the maximum displacement.
Yes, a 45 degree angle launch is commonly used in sports such as javelin throw and long jump, where the goal is to maximize displacement. It is also used in artillery and missile launches for optimal range.
Yes, in certain scenarios where air resistance or other external factors are involved, a different angle may be more optimal for displacement. However, in a vacuum or in ideal conditions, a 45 degree angle launch remains the best option.