Intitial velocity from given angle and distance

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To determine the takeoff speed of an athlete executing a long jump at a 30° angle over a distance of 8.30 m, kinematic equations and trigonometric functions are essential. The problem lacks specific height data, leading to the assumption that height can be ignored for this calculation. The key questions involve finding the time at which the athlete's height returns to zero and the total distance traveled during that time. The absence of time and air resistance complicates the solution. Ultimately, the focus remains on using the given angle and distance to calculate the initial velocity effectively.
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1. An athlete executing a long jump leaves the ground at a 30° angle and travels 8.30 m.
What was the takeoff speed?

Homework Equations


Just the kinematic equations and trig functions.


The Attempt at a Solution


I don't even know where to begin solving the problem. I've tried using half the distance as a measurement but that wasn't correct.
 
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whats the height of the athete as a function of time after he takes of?

at what value of t does this height become zero again?

how much has the athlete traveled in that time.

(of course an athlete is a point mass in this kind of problem)
 
there is no height given, so I assume we ignore the height. The athlete has traveled 8.30m (no time given) and we ignore air resistance and his height.
 
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