Mathematical Proof That a 45 Degree Angle Launch is Best for

AI Thread Summary
A 45-degree launch angle maximizes horizontal displacement in projectile motion due to the optimal balance between vertical and horizontal velocity components. The mathematical proof involves analyzing the equations of motion and demonstrating that this angle results in the greatest range. Key factors include initial velocity and gravitational acceleration, which influence the trajectory. Resources like HyperPhysics provide detailed explanations and calculations for understanding this concept. Ultimately, launching at a 45-degree angle is proven to be the most effective for achieving maximum displacement.
Deeman
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Mathematical Proof That a 45 Degree Angle Launch is Best for Displacement

how do i solve this
 
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Deeman said:
Mathematical Proof That a 45 Degree Angle Launch is Best for Displacement

how do i solve this
First, figure out the relationship between launch angle and horizontal displacement.
 
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