Final answer:
The height of the ball after 15 seconds is -3456 feet.
Step-by-step explanation:
The height of the ball, h(t), after 15 seconds can be found by substituting t=15 into the equation h(t)=-16t²+144:
h(15) = -16(15)² + 144
h(15) = -16(225) + 144
h(15) = -3600 + 144
h(15) = -3456
Therefore, after 15 seconds, the height of the ball is -3456 feet.