AIR MATH

Math Question

Graham and Hunter are circus performers. A cable lifts Graham into the air at a constant speed of \( 1.5 \mathrm{ft} / \mathrm{s} \). When Graham's arms are 18 ft above the ground, Hunter, who is standing directly underneath Graham, throws Graham a ball as the cable continues to lift him higher. Hunter throws the ball from a position \( 5 \mathrm{ft} \) above the ground with an initial velocity of \( 24 \mathrm{ft} / \mathrm{s} \). Which system of equations can be used to model this situation? \( \left\{\begin{array}{l}h=18+1.5 t \\ h=5+24 t-16 t^{2}\end{array}\right. \) \( \left\{\begin{array}{l}n=18+1.5 t \\ n=5+24 i+16 t^{2}\end{array}\right. \) \( \left\{\begin{array}{l}h=18+1.5 t \\ h=5+24 t\end{array}\right. \) \( \left\{\begin{array}{l}h=18+1.5 t-16 t^{2} \\ h=5+24 t-16 t^{2}\end{array}\right. \)

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