πŸ’―An Ingelious Way to Understand Kinematics Projectile Motion Questions

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Kinematics Projectile Motion

Here’s an “ingelious” way to understand JC A Level H2 Physics projectile motion related to kinematics.
Let’s try to derive the optimum angle to throw a javelin for maximum range, assuming no air resistance:

The distance travelled by a projectile is always determined by its time of flight t .
Its time of flight t is in turn determined by its initial vertical velocity v_y  .
Note t is the same for both horizontal and vertical motion.
To find its time of flight, let the vertical displacement s_y be 0 (when the javelin returns back to ground)
Set upwards as positive,
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