Final answer:
Upon quadrupling the time for a car undergoing uniform acceleration from a standing start, the displacement becomes 800 meters, not matching any of the given options, suggesting an error in the question or options provided.
Step-by-step explanation:
To determine the displacement of a car that undergoes uniform acceleration when the time is increased by a factor of four, we can use the kinematic equation for displacement under constant acceleration, which is s = ut + ½ at². Initially, the car travels 100 meters from a standstill (initial velocity, u, is zero). For the first scenario, let's substitute the given values into the equation, resulting in 100 m = ½ a t². To find the displacement when the time is quadrupled, we use the new time 4t in the equation, so we have s = ½ a (4t)² = 8 * (½ a t²). Since we know ½ a t² is 100 m from the first situation, we calculate the new displacement as 8 * 100 m = 800 m. Therefore, when the time is quadrupled, the displacement becomes 800 meters, which is not one of the options provided. Hence, it indicates that there might be an error in the question or the provided options.