We can find the initial velocity of the rock from the kinematic equation:
here, "v=0\\ \\dfrac{m}{s}" is the final velocity of the rock at the maximum height, "v_0" is the initial velocity of the rock, "g=-9.8\\ \\dfrac{m}{s^2}" is acceleration due to gravity and "t=2.4\\ s" is the time that the rock takes to reach the maximum height.
Then, from this equation we can calculate the initial velocity of the rock:
Answer:
"v_0=23.52\\ \\dfrac{m}{s}."
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