Question

You are in a racecar and aim for a speed contest on an L=10.0 km long race road. Your car has been optimized for efficiency and has a maximum speed of v 1 =322 km/h.

a) How many seconds does it take you to drive 10.0 km at maximum speed? (3 points)

b) You hear rumors that the car of an opponent has a maximum speed of v 2 =362 km/h. If you both start the race with constant maximum speed v 1 and v 2 , how far from the finish in km would you be when you opponent’s car reaches it?

(5 points)

c) Luckily your opponent’s car is not fuel efficient and has to start slowing down for a pit stop after l=5.0 km to fuel up. The fueling up alone takes t fu =10.0 seconds. To and from the pit stop, the car has a constant de-acceleration and acceleration with a magnitude of a=11.2 m/s 2 . Draw a velocity vs. time and acceleration vs. time graph (does not to be quantitative) and label the relevant quantities. (5 points)

d) Calculate the total time in seconds that your opponent needs to finish the race. Who wins? (10 points)

Answer 1