A ball is thrown upwards with an initial velocity of $v_0$ meters per second from a height of $h$ meters. The height $h(t)$ of the ball at time $t$ seconds can be modeled by the quadratic equation \( h(t) = -4.9t^2 + v_0 t + h \). If the ball reaches its maximum height after 3 seconds and the initial velocity is 29.4 meters per second, what is the initial height $h$ from which the ball was thrown? Let's think step by step and output the final answer within \boxed{}.
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