Question

An astronaut on the moon throws a baseball upward. Given the equation S = -2.7t^2 + 30t + 6.5, after _ seconds, the ball will be 14 feet above the moon surface.

a) 2
b) 3
c) 4
d) 5

Answer 1

To find the time it takes for the ball to reach a height of 14 feet above the moon surface, solve the given equation S = -2.7t^2 + 30t + 6.5 by setting it equal to 14 and using the quadratic formula.

Step-by-step explanation:

To find the time it takes for the ball to reach a height of 14 feet above the moon surface, we need to solve the equation S = -2.7t^2 + 30t + 6.5. Set the equation equal to 14 and solve for t:

-2.7t^2 + 30t + 6.5 = 14

2.7t^2 - 30t - 7.5 = 0

Using the quadratic formula, we get t ≈ 4 seconds (approximately). So, the answer is (c) 4.