Suppose the caravan of 10 cars begins immediately in front of the first toll booth, travels 20 km to a second toll booth, then another 40 km to a third toll booth, and finally stops immediately after the third tool booth. Thus, they travel a total of 60 km.  What is the total end-to-end delay? Where is the last car in the caravan after one hour? Your answer must include a distance/specific location, and not only a relative direction

Archibald, an aging geezer, is out bicycling one fine afternoon, reliving his glorious youth and oblivious to the world around him. As he approaches a busy intersection, a police officer directing traffic blows his whistle to get Archie’s attention so he’ll slow down and stop. But Archie doesn’t stop; he just speeds right through the intersection as if the traffic cop wasn’t even there. The cop radios one of his colleagues and gets her to stop the old geezer. She gives him a traffic citation for failing to heed the command of a police officer directing traffic. When the case gets to traffic court, Archie explains to the judge that he didn’t hear the officer’s whistle because he is going deaf and cannot hear frequencies above 3000 Hz. The traffic cop informs the judge that his standard issue police whistle emits a frequency of 2100 Hz and he has a certificate to prove it. Thinking quickly (at least for an old geezer) Archie says that it may be true that the police whistle emits a sound…

A car is accelerating uniformly as it passes two checkpoints 500 m apart. The car was travelling at 30kph when it passed the first checkpoint. It took the car 10 seconds to reach the secondcheckpoint. What was the car’s acceleration in m/s^2? What was the car’s speed in kph as itpassed the second checkpoint?

You’re trying to find your classroom in the labyrinth that is Gilman Hall, walking through the halls at an average pace of 1.4 m/s. You look up from your phone displaying the room number to see that a group of students is suddenly standing in the middle of the hallway 1.8 meters away! How much time (in seconds) do you have to react before you bump into them

Sophia is cruising at 28.0 m/s down Lake Avenue and through the forest preserve. She notices a deer jump into the road at a location 62.0 m in front of her. Ima first reacts to the event, then slams on her brakes and decelerates at -8.10 m/s2, and ultimately stops a picometer in front of the frozen deer. What is Ima's reaction time? (i.e., how long did it take Sophia to react to the event prior to decelerating?

Moving sidewalks are installed every other 50 meters along the entire stretch of an airport walkway. These sidewalks move at a constant speed of 1 m/s. A lady passenger takes one of the sidewalks to go from one point to the next. If the passenger decides to go back using the same sidewalk at 1 m/s, how long will it take to reach her point of origin?

There is a 1500 mile race course. The max forward acceleration is 4 m/s2 and the max backward acceleration is 6 m/s2. I start at 600 m and must go to the 800 m mark (I must travel 200 m). What is an equation for the fastest time that I could get to 800 m? What is the position, time, and velocity of my vehicle?

Evan is just leaving his house to visit his grandma. Normally, the trip takes him 25 minutes on the freeway, going 55 mph. But tonight he’s running 5 minutes late. How fast will he need to drive on the freeway to make up the 5 minutes?Express your answer in miles per hour.

To deter speeding through a residential area, the Police set up a speed trap on Illusion Drive Between the hours of 3:00 pm and 6/00 * p * m they time vehicles over a 150 meter distance. If the speed limit is 35 mph, what is the fastest time a driver can take to cover this distance so she DOES NOT receive a ticket

You and Sally are walking to a local restaurant for dinner and disagree about which path would be faster. You each decide to travel on your chosen paths. On your path, the distance to the restaurant is 1.7 miles and you walk at a rate of 4.0 mph. Sally walks at a rate of 4.2 mph and her path is longer at 1.9 miles. Who gets to get the restaurant first? How much earlier does the winner get to the restaurant, in hours or minutes?