The correct value of the h function is; h= -9.8t² + 45t + 1
Answer:
Using the discriminant, no real solution exists and the baseball will not hit the roof.
Step-by-step explanation:
We are told the height is expressed as;h= -9.8t² + 45t + 1
Also that the Astrodome has a maximum height of 63.4 m
Thus, to find out if the baseball hit at a velocity of 45 m/s will hit the roof, we'll replace h with 63.4m.
Thus;
63.4 = -9.8t² + 45t + 1
Subtract 63.4 from both sides to give;
-9.8t² + 45t + 1 - 63.4 = 0
-9.8t² + 45t - 62.4 = 0
Using quadratic formula, we have;
t = -45 ± √{(45² - (4 * (-9.8) * (-62.4)}
t = -45 ± √(2025 - 2446.08)
t = -45 ± √(-421.08)
The discriminant is -421.08
This value is less than 0.
Thus, no real solution exists and the baseball will not hit the roof.
