Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mph and the other at 70 mph. Assuming they start at the same point, how much sooner does the faster car arrive at a destination 10 mi away (in seconds)?

An express train passes through a station that is 220 m long. It enters with an initial speed of 22.5 m/s and decelerates at a rate of 0.14 m/s2 as it goes through. During what time interval, in seconds, is the front of the train within the station?  How fast is the train moving, in meters per second, when its front leaves the station?  If the train is 130 m long, how long, in seconds, after the front of the train enters the station does the end of the train leave the station?  What is the velocity of the end of the train as it leaves in m/s?

Usually, Tony travels to Bunbury from Perth city in 2.50 hours. One day he increases his average speed by 12.0 km/h and takes 22.5 minutes less time to reach Bunbury. (a) What was his usual average speed? What was the distance travelled? (b) On the way he stopped at a rail crossing (6.00 m wide) and a train (total length 144m) decelerating at -0.585 ms2 just entered the crossing with a velocity of 13.7 m s¹. Sketch a diagram and find the minimum time for the last carriage of the train to clear the crossing.

A Ferrari traveling well over the posted speed limit, passes a parked Tennessee State Trooper who decided to give chase. It takes the trooper 4.6 seconds to turn on the 'blue lights' and get the 'at rest' PW5000 powered Dodge interceptor moving. Then 8.3 seconds more to accelerate to its top speed and 63 seconds more to catch up with the speeder 3.5 km down the highway from the trooper's parking spot. Determine the average speed of the Ferrari over this distance in km/hr