Final answer:
The height of the baseball after 3.5 seconds can be found by substituting t = 3.5 into the equation -16t² + 64t + 3, resulting in a height of 31 feet.
Step-by-step explanation:
The height of the baseball after 3.5 seconds is calculated by substituting t = 3.5 into the given quadratic expression -16t² + 64t + 3. Performing the substitution gives us:
- -16(3.5)² + 64(3.5) + 3
- -196 + 224 + 3
- 28 + 3
- 31 feet
Therefore, the height of the baseball after 3.5 seconds is 31 feet.