An engineer sets out from home to attend a meeting. For the first 90 minutes, she drives east at 30 km/h, then slows down to 10 km/h (still heading east) for the next 5 km. Traffic then comes to a standstill for one hour. After this time, she realizes that she will miss the meeting, so she drives home at 60 km/h. (Assume that all motion is along a straight line.)
a. Draw a velocity versus time graph for her journey.
b. Draw a position versus time graph for her journey.