Question

An automobile speeding at 100 km=h passes a stationary police cruiser. the police o cer starts to move her cruiser in pursuit 8 s after the automobile passes. she accelerates uniformly to 120 km=h in 10 s, and then continues at uniform speed until she catches the speeder.

calculate the distance of the speeder from the cruiser when the latter starts.

Answer 1

To find the distance between the speeder and the police cruiser when the pursuit begins, the speeder's speed is converted to m/s, and the distance is calculated over the 8-second delay, resulting in the speeder being 222.224 meters ahead when the police cruiser starts.

Step-by-step explanation:

To calculate the distance of the speeder from the cruiser when the police officer starts the pursuit, we need to determine how far the speeder travels during the 8-second delay. We know the speeder's velocity is 100 km/h, which we convert to meters per second (m/s) since we want the distance in meters and the time is given in seconds. The conversion factor is 1 km/h = 0.27778 m/s, so 100 km/h is equivalent to 27.778 m/s. The distance traveled by the speeder in 8 seconds is then:

Distance = Velocity × Time = 27.778 m/s × 8 s = 222.224 m

Thus, the police cruiser starts pursuing the speeder with the speeder being 222.224 meters ahead.