Your vehicle and a car you trail by 20.0 m are both traveling
20.0 m/s. You decide to pass. You accelerate at 2.5 m/s2 up to 30.0
m/s, after which you hold your speed constant. When you are 5.00 m
ahead of the other car you can safely pull back into the right-hand
lane. You can choose t = 0 at the time when you started to
accelerate.
a.) On a single graph, plot the velocity versus time for
both cars
b.) How long does it take for you to reach 30.0 m/s?
c.) How far does your car travel from the instant you
started to accelerate to the instant you reached 30.0 m/s?
d.) What is the relative position of your car to the other
car the instant you reach 30.0 m/s?
e.) How much time elapses before you can pull into the
right-hand lane?
f.) What total distance (from the point you started to
accelerate) do you travel while passing?