Final answer:
To find the height of the object after 1.5 seconds, substitute t = 1.5 into the equation and simplify: -6(1.5)² + 20(1.5) + 0 = -13.5 + 30 + 0 = 16.5. Therefore, the height of the object after 1.5 seconds is 16.5.
Step-by-step explanation:
The given expression is a quadratic equation of the form ax² + bx + c = 0, where a = -6, b = 20, and c = 0. To find the height of the object after 1.5 seconds, substitute t = 1.5 into the equation and simplify:
-6(1.5)² + 20(1.5) + 0
= -13.5 + 30 + 0
= 16.5
Therefore, the height of the object after 1.5 seconds is 16.5.