A car's speed increases as it merges onto a highway. The car travels at 65 mph on the highway until it slows to exit. The car then stops at three traffic lights before reaching its destination. Draw a sketch of a graph that shows the car's speed over time.
Here is a description of the graph:
- The x-axis represents time.
- The y-axis represents speed in miles per hour (mph).
- At time t=0, the car is merging onto the highway and starting to accelerate. The speed gradually increases until it reaches 65 mph, which is a constant speed on the highway.
- The car maintains a speed of 65 mph for a certain amount of time until it reaches the exit. At this point, the speed decreases rapidly until the car comes to a stop.
- After stopping, the car waits for the traffic lights to turn green. Each traffic light is represented by a horizontal line segment at 0 mph for a certain duration of time.
- After each traffic light, the car accelerates again until it reaches its maximum speed of 65 mph on the highway.
- The final segment of the graph represents the car approaching its destination. As it gets closer, the speed gradually decreases until the car fully stops.
Please note that there are many ways to represent this graph, and the actual shape and length of each segment will depend on various factors such as traffic conditions and the distance between the highway exit and the destination.