Question

At 10:17 a.m., you pass a police car at 55 mph that is stopped on the freeway. You pass a second police car at 55 mph at 10:53 a.m., which is located 39 mi from the first police car. If the speed limit is 60 mph, can the police cite you for speeding

Answer 1

The police will cite you for speeding.

Step-by-step explanation:

To know if the police will cite you for speeding we need to find the average speed (v):

`v = (x_(f) - x_(i))/(t_(f) - t_(i))`

Where:

x(f): is the final distance = 39 mi

x(i): is the initial distance = 0

t(f): is the final time = 53 min = 0.88 h

t(i): is the initial time = 17 min = 0.28 h

Hence, the average speed is:

`v = (39 mi - 0)/(0.88 h - 0.28 h) = 65 mph`

Therefore, since the limit speed is 60 mph and your speed is 65 mph, the police will cite you for speeding.

I hope it helps you!