Final answer:
To find the change in velocity after 4 minutes of accelerating at 2.62 m/s², convert the time to seconds and use the equation Δv = a * t. The calculation yields a change in velocity of 628.8 m/s, which does not match the multiple-choice options, indicating a potential error in the question.
Step-by-step explanation:
You are floating down the Sabine River with an acceleration of 2.62 m/s². To calculate how much your velocity has changed at the end of a 4-minute time, you can use the equation of motion that relates acceleration and time to change in velocity, which is Δv = a * t. Since the time needs to be in seconds for the SI unit consistency, we first convert 4 minutes into seconds (4 minutes * 60 seconds/minute = 240 seconds). Now, calculating the change in velocity: Δv = 2.62 m/s² * 240 s = 628.8 m/s.
The acceleration of the object doesn't match any of the multiple-choice options exactly. Thus, there may be a typo in the multiple-choice options or in the acceleration value given. However, based on the calculation, the closest answer in the options is (c) 90 m/s, which suggests that there might be an error in the provided values or in the understanding of the question.