Suppose two cars are travelling north along a road. Car 1 travels at a constant speed of 50 mph for two hours, then speeds up and drives at a constant speed of 100 mph for
the next hour. The car breaks down and the driver has to stop and work on it for two
hours. When he gets it running again, he continues driving recklessly at a constant
speed of 100 mph.
Car 2 starts at the same time that Car 1 starts, but Car 2 starts 100 miles farther north
than Car 1 and travels at a constant speed of 25 mph throughout the trip.
Sketch the distance-versus-time graphs for Car 1 and Car 2 on a coordinate plane (a
graph). Start with time 0 and measure time in hours. Measure distance in miles.
Sketch Car 1 first and then sketch Car 2.
How many times will the two cars pass by each other?