Final answer:
To ensure safety when the entrance lane is too short, remain alert, signal all lane changes, and merge into a gap in traffic without stopping. Traffic engineers use calculations to design these ramps for safe vehicle merging.
Step-by-step explanation:
When entering an expressway and the entrance lane is too short for safely accelerating to the expressway speed, the safest method involves a combination of the options provided. Firstly, one should remain alert for traffic and be prepared to adjust speed accordingly. If possible, when already on the expressway, move from the right lane near entrances to allow room for incoming traffic. Secondly, while driving on the expressway, it's crucial to signal all lane changes effectively and ensure you're not cutting off vehicles by checking your mirrors and over your shoulder. Unfortunately, stopping on the ramp could be dangerous, so it's better to find a gap in traffic and match your speed safely with the flow of traffic.
Calculating the time it takes for a car to merge into traffic on a freeway ramp is an example relevant to this situation. For instance, a car with an initial velocity of 10.0 m/s and acceleration of 2.00 m/s² traveling up a 200-m ramp can be calculated using physics, which traffic engineers find useful for designing ramps for safe merging.