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To find the height of the ball after 7.5 seconds, we need to substitute s = 7.5 into the equation h(s) = -s^2 + 10s + 3.
h(7.5) = -(7.5)^2 + 10(7.5) + 3
= -56.25 + 75 + 3
= 21 + 3
= 24.
Therefore, the height of the ball after 7.5 seconds is 24 units.