Final answer:
The change in momentum of the snowmobile with a mass of 250 kg that accelerates from 6 m/s to 28 m/s is 5500 kg·m/s.
Step-by-step explanation:
The change in momentum of an object can be found by using the formula: Δp = m(Δv), where m is the mass of the object and Δv is the change in velocity. In this case, the snowmobile has a mass of 250 kg, an initial velocity of 6 m/s, and a final velocity of 28 m/s. Therefore, the change in velocity is 28 m/s - 6 m/s, which equals 22 m/s.
Now, using the formula:
Change in momentum, Δp = 250 kg * 22 m/s = 5500 kg·m/s.
So, the change in momentum of the snowmobile is 5500 kg·m/s.