Final answer:
Using the formula for time as the change in velocity divided by acceleration, the time calculated for the given change in velocity and acceleration is 0.1154 seconds. The nearest answer choice provided is 0.1158 seconds (Option B).
Step-by-step explanation:
To calculate how much time it takes for an object to change its velocity by 1.59 m/s with an acceleration of 13.78 m/s², we can use the formula:
Time (t) = Change in Velocity (Δv) / Acceleration (a)
Plugging in the given values:
t = 1.59 m/s / 13.78 m/s²
t = 0.1154 seconds
Therefore, the closest option to this result is B) 0.1158 seconds.