Final answer:
The thinking time, also known as reaction time, in the given scenario would be 0.6 seconds, assuming the provided reaction time of 0.500s is correct and the car's speed remains constant at 30.0 m/s.
Step-by-step explanation:
The question is asking for the thinking time or reaction time of a driver when their car needs to stop. This is a calculation based on the distance the car travels during the driver's reaction time and the car's speed. The provided information indicates that the car's speed is constant during the reaction time. Given that the car is traveling at 90 km/h, which translates to 30.0 m/s, and a reaction time (treaction) of 0.500s is assumed, with zero acceleration (areaction = 0), we can calculate the thinking time.
However, the question seems to have typos and mistakes, as it does not provide enough information to calculate the thinking time based on the equation (time = distance/average speed), and the equation is not relevant to the information given. Typically, thinking time is a fixed value and cannot be calculated without specific distance being given. Therefore, the answer to the question, based on the provided solution and assuming the reaction time to be 0.500s, would be (c) 0.6 s.