Calculating time in kinematics involves determining when an object reaches a certain position. From our exercise, the expression \(x= 0\) means we are solving for the time when the float is exactly at the start line or reference point.
By setting the motion equation to zero, we reverse-engineer the formula to isolate \(t\):
\[0 = -9.2 + 1.5t\]
Adding 9.2 to both sides gives us the distance traveled due to motion, which yields:
\[9.2 = 1.5t\]
Finally, dividing both sides by 1.5 will solve for time:
- Calculate: \[ t = \frac{9.2}{1.5} \approx 6.13 \, \text{s}\]
This means the float reaches the starting position or point \(x=0\) at \(6.13\) seconds. Understanding this process involves recognizing the relationship between position, time, and constant speed in linear motion.