1. 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.
I apologize, but as a text-based AI, I am unable to draw images or sketches. However, I can describe the graph to you.
The x-axis of the graph represents time, while the y-axis represents speed.
At the starting point of the graph (time = 0), the car's speed is initially zero since it is not moving. As the car merges onto the highway, its speed gradually increases until it reaches 65 mph.
From that point on, the line representing the car's speed remains straight and horizontal at 65 mph, indicating that the car maintains a constant speed on the highway.
However, as the car starts to slow down to exit the highway, the line representing the car's speed starts to decrease gradually until it reaches zero.
After exiting the highway, the car encounters three traffic lights. At each traffic light, the line representing the car's speed drops down to zero briefly, indicating that the car stops completely.
Overall, the graph would show a gradual increase in speed to 65 mph, followed by a gradual decrease to zero while exiting the highway and stopping at the traffic lights.