Classical Hard projectile motion problem

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In the discussion about the standing broad jump, the mechanics of the jump are analyzed, focusing on the leg extension of 0.600 m and an acceleration of 1.25 times the acceleration due to gravity (g). Key points include the importance of the angle of acceleration, which could be vertical or at a 45° angle, affecting the jump distance. The role of arm movement during take-off is highlighted, noting that swinging arms forward can help advance the center of mass but may not necessarily increase distance unless positioned correctly. Additionally, the discussion raises questions about landing posture, suggesting that unconventional landings, such as landing flat on the back, could potentially influence the jump's effective distance. The conversation hints at the need for clarity on whether specific landing requirements are in place.
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In the standing broad jump, one squats and then pushes off with the legs to see how far one can jump. Suppose the extension of the legs from the crouch position is 0.600 m and the acceleration achieved from this position is 1.25 times the acceleration due to gravity, g . How far can they jump? State your assumptions. (Increased range can be achieved by swinging the arms in the direction of the jump.)
 
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Does the 1.25g acceleration take place vertically or maybe at 45°?
Arms forward on take-off will advance the centre of mass, but not necessarily give an increased distance unless they end up behind.
Swinging the arms in circles can change orientation while in the air. If the jumper was tall and landed flat on their back, lying across their track, they might go further. Do they have to land on their feet?
 

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