Final answer:
Without the rate of acceleration, we cannot determine how long it takes for a car to accelerate from 80 km/h to 110 km/h. However, the conversion of units is explained, such as km/h to m/s and m/s to km/h, which is often needed for solving physics problems related to motion.
Step-by-step explanation:
To answer the question regarding acceleration from 80 km/h to 110 km/h, we must first have the rate of acceleration, which is missing from the problem statement. However, in a related question with sufficient data (number 95), a police car accelerates from rest at 4 m/s² to catch a speeding car. To calculate the acceleration of an automobile in a different scenario, we would use the formula: a = Δv / t, where Δv is the change in velocity and t is the time. But without the acceleration rate, we cannot complete the calculation for the student's original question.
Conversion examples, necessary for various questions, demonstrate the relationship between units: 100 km/h is equivalent to approximately 27.78 m/s (by dividing the speed in km/h by 3.6). Similarly, the conversion from meters per second to miles per hour involves multiplying the speed in m/s by approximately 2.24. Therefore, a speed of 33 m/s translates to 33 x 3.6 = 118.8 km/h, indicating that the car is exceeding the speed limit of 90 km/h.
When discussing the movement of vehicles or any other objects, it is pertinent to convert between units of measure to understand the speeds and accelerations involved accurately. The power output of a vehicle and its mass can also affect its acceleration capabilities, as seen in the provided example where an 850-kg car with a 40.0 hp output accelerates to a certain speed. But again, the specific time to accelerate depends on the power and force applied, which would need to be specified or calculated.