Final answer:
The object will take approximately 2.03 seconds to travel 68 feet, as calculated by setting the falling distance to 68 in the formula and solving for time.
Step-by-step explanation:
To calculate how long it will take for the object to travel 68 feet using the falling object distance formula d = 2 + 16t^2, we first need to set up the equation with the given distance:
68 = 2 + 16t^2
Subtract 2 from both sides of the equation:
66 = 16t^2
Divide both sides by 16 to solve for t^2:
t^2 = 66 / 16
t^2 = 4.125
Take the square root of both sides to solve for t:
t = sqrt(4.125)
t ≈ 2.03 seconds
Therefore, it will take approximately 2.03 seconds for the object to travel 68 feet.