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Algebra
Pregunta

A long jumper leaves the ground at an angle of \( ...

A long jumper leaves the ground at an angle of \( 17 ^ { \circ } \) above the horizontal, at a speed of \( 11 m / s \) . The height of the jumper can be modeled by \( h ( x ) = - 0.048 x ^ { 2 } + 0.361 x \) , where \( h \) is the jumper's height in meters and \( x \) is the horizontal distance from the point of launch. 

(a) At what horizontal distance from the point of launch does the maximum height occur? Round to \( 2 \) decimal places. The long jumper reaches a maximum height when the horizontal distance from the point of launch is approximately \( \square \) meters. 

Answer

a) 3.76 m 

Solución
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