An electric scooter is traveling along a straight, level path at a constant speed.
Complete the sentences:
Figure 1 shows how the speed of this electric scooter changes as the power output of its motor changes.

Write down the equation that links power, time, and work done.
Calculate the work done by the motor when its power output is 350 W350\text{ W}350 W for 1200 seconds1200\text{ seconds}1200 seconds. Keep your answer in joules (J\text{J}J).
Using the graph in Figure 1, calculate the percentage increase in speed of the scooter when the power output changes from 200 W200\text{ W}200 W to 400 W400\text{ W}400 W.
The maximum speed of this scooter on a level road is 16 m/s16\text{ m/s}16 m/s. Explain how driving uphill affects the maximum speed of this scooter.